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Symplectic Geometry [[electronic resource] ] : A Festschrift in Honour of Claude Viterbo’s 60th Birthday / / edited by Helmut Hofer, Alberto Abbondandolo, Urs Frauenfelder, Felix Schlenk
| Symplectic Geometry [[electronic resource] ] : A Festschrift in Honour of Claude Viterbo’s 60th Birthday / / edited by Helmut Hofer, Alberto Abbondandolo, Urs Frauenfelder, Felix Schlenk |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022 |
| Descrizione fisica | 1 online resource (1157 pages) |
| Disciplina | 516.36 |
| Soggetto topico |
Geometry, Differential
Algebraic topology Manifolds (Mathematics) Dynamical systems Algebraic geometry Differential Geometry Algebraic Topology Manifolds and Cell Complexes Dynamical Systems Algebraic Geometry Geometria simplèctica Geometria diferencial |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-19111-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Helmut Hofer, Alberto Abbondandolo, Urs Frauenfelder, Felix Schlenk, Dedication -- Peter Albers, Serge Tabachnikov, Symplectically convex and symplectically star-shaped curves: A variational problem -- Marcelo R. R. Alves, Lucas Dahinden, Matthias Meiwes, Louis Merlin, C^0-robustness of topological entropy for geodesic flows -- Luca Asselle, Marco Fenucci, Alessandro Portaluri, Bifurcations of balanced configurations for the Newtonian n-body problem in R^4 -- Gabriele Benedetti, Jungskoo Kang, Relative Hofer–Zehnder capacity and positive symplectic homology -- Lev Buhovsky, Vincent Humilière, Sobhan Seyfaddini, An Arnold-type prinicple for non-smooth objects -- Lev Buhovsky, Emmanuel Opshtein, Quantitative h-principle in symplectic geometry -- Franco Cardin, On symplectomorphisms and Hamiltonian Flows -- Roger Casals, Lagrangian skeleta and plane curve singularities -- Baptiste Chantraine, Reeb chords of Lagrangian Slices -- Marc Chaperon, Basic facts and naïve questions -- Erman Çineli, Viktor L. Ginzburg, Başak Z. Gürel, Another look at the Hofer-Zehnder conjecture -- Daniel Cristofaro-Gardiner, Richard Hind, Kyler Siegel, Higher symplectic capacities and the stabilized embedding problem for integral elllipsoids -- Guido de Philippis, Michele Marini, Marco Mazzucchelli, Stefan Suhr, Closed geodesics on reversible Finsler 2-spheres -- Michael Entov, Leonid Polterovich, Legendrian persistance modules and dynamics -- Jonathan David Evans, A Lagrangian Klein bottle you can't squeeze -- Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono, Construction of a linear K-system in Hamiltonian Floer theory -- Hansjörg Geiges, What does a vector field know about volume?- Paolo Ghiggini, Klaus Niederkrüger-Eid, On the symplectic fillings of standard real projective spaces -- Alexey Glutsyuk, On curves with the Poritsky property -- Jean Gutt, Michael Hutchings, Vinicius G. B. Ramos, Examples around the strong Viterbo conjecture -- Umberto L. Hryniewicz, Pedro A. S. Salomão, Richard Siefring, Global surfaces of section with positive genus for dynamically convex Reeb flows -- Michael Hutchings, ECH capacities and the Ruelle invariant -- Kei Ire, Capacities of billiard tables and S^1-equivariant loop space homology -- Joontae Kim, Seongchan Kim, Myeonggi Kwon, Remarks on the systoles of symmetric convex hypersurfaces and symplectic capacities -- Myeonggi Kwon, Kevin Wiegand, Kai Zehmisch, Diffeomorphism type via aperiodicity in Reeb dynamics -- Patrice Le Calvez, Conservative surface homeomorphisms with finitely many periodic points -- Frédéric Le Roux, Sobhan Seyfaddini, The Anosov–Katok method and pseudo-rotations in symplectic dynamics -- Agustin Moreno, Contact geometry in the restricted three-body problem: a survey -- Agustin Moreno, Otto van Koert, A generalized Poincaré–Birkhoff theorem -- Georgios Dimitroglou Rizell, Families of Legendrians and Lagrangians with unbounded spectral norm -- Paul Seidel, Nicholas Wilkins, Covariant constancy of quantum Steenrod operations -- Vivek Shende, An algebraic approach to the algebraic Weinstein conjecture -- Matthew Strom Borman, Nick Sheridan, Umut Varolgunes, Quantum cohomology as a deformation of symplectic cohomology -- Fabian Ziltener, A symplectic embedding of the cube with minimal sections and a question by Schlenk. |
| Record Nr. | UNINA-9910633916503321 |
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Symplectic Geometry [[electronic resource] ] : A Festschrift in Honour of Claude Viterbo’s 60th Birthday / / edited by Helmut Hofer, Alberto Abbondandolo, Urs Frauenfelder, Felix Schlenk
| Symplectic Geometry [[electronic resource] ] : A Festschrift in Honour of Claude Viterbo’s 60th Birthday / / edited by Helmut Hofer, Alberto Abbondandolo, Urs Frauenfelder, Felix Schlenk |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022 |
| Descrizione fisica | 1 online resource (1157 pages) |
| Disciplina | 516.36 |
| Soggetto topico |
Geometry, Differential
Algebraic topology Manifolds (Mathematics) Dynamical systems Algebraic geometry Differential Geometry Algebraic Topology Manifolds and Cell Complexes Dynamical Systems Algebraic Geometry Geometria simplèctica Geometria diferencial |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-19111-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Helmut Hofer, Alberto Abbondandolo, Urs Frauenfelder, Felix Schlenk, Dedication -- Peter Albers, Serge Tabachnikov, Symplectically convex and symplectically star-shaped curves: A variational problem -- Marcelo R. R. Alves, Lucas Dahinden, Matthias Meiwes, Louis Merlin, C^0-robustness of topological entropy for geodesic flows -- Luca Asselle, Marco Fenucci, Alessandro Portaluri, Bifurcations of balanced configurations for the Newtonian n-body problem in R^4 -- Gabriele Benedetti, Jungskoo Kang, Relative Hofer–Zehnder capacity and positive symplectic homology -- Lev Buhovsky, Vincent Humilière, Sobhan Seyfaddini, An Arnold-type prinicple for non-smooth objects -- Lev Buhovsky, Emmanuel Opshtein, Quantitative h-principle in symplectic geometry -- Franco Cardin, On symplectomorphisms and Hamiltonian Flows -- Roger Casals, Lagrangian skeleta and plane curve singularities -- Baptiste Chantraine, Reeb chords of Lagrangian Slices -- Marc Chaperon, Basic facts and naïve questions -- Erman Çineli, Viktor L. Ginzburg, Başak Z. Gürel, Another look at the Hofer-Zehnder conjecture -- Daniel Cristofaro-Gardiner, Richard Hind, Kyler Siegel, Higher symplectic capacities and the stabilized embedding problem for integral elllipsoids -- Guido de Philippis, Michele Marini, Marco Mazzucchelli, Stefan Suhr, Closed geodesics on reversible Finsler 2-spheres -- Michael Entov, Leonid Polterovich, Legendrian persistance modules and dynamics -- Jonathan David Evans, A Lagrangian Klein bottle you can't squeeze -- Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono, Construction of a linear K-system in Hamiltonian Floer theory -- Hansjörg Geiges, What does a vector field know about volume?- Paolo Ghiggini, Klaus Niederkrüger-Eid, On the symplectic fillings of standard real projective spaces -- Alexey Glutsyuk, On curves with the Poritsky property -- Jean Gutt, Michael Hutchings, Vinicius G. B. Ramos, Examples around the strong Viterbo conjecture -- Umberto L. Hryniewicz, Pedro A. S. Salomão, Richard Siefring, Global surfaces of section with positive genus for dynamically convex Reeb flows -- Michael Hutchings, ECH capacities and the Ruelle invariant -- Kei Ire, Capacities of billiard tables and S^1-equivariant loop space homology -- Joontae Kim, Seongchan Kim, Myeonggi Kwon, Remarks on the systoles of symmetric convex hypersurfaces and symplectic capacities -- Myeonggi Kwon, Kevin Wiegand, Kai Zehmisch, Diffeomorphism type via aperiodicity in Reeb dynamics -- Patrice Le Calvez, Conservative surface homeomorphisms with finitely many periodic points -- Frédéric Le Roux, Sobhan Seyfaddini, The Anosov–Katok method and pseudo-rotations in symplectic dynamics -- Agustin Moreno, Contact geometry in the restricted three-body problem: a survey -- Agustin Moreno, Otto van Koert, A generalized Poincaré–Birkhoff theorem -- Georgios Dimitroglou Rizell, Families of Legendrians and Lagrangians with unbounded spectral norm -- Paul Seidel, Nicholas Wilkins, Covariant constancy of quantum Steenrod operations -- Vivek Shende, An algebraic approach to the algebraic Weinstein conjecture -- Matthew Strom Borman, Nick Sheridan, Umut Varolgunes, Quantum cohomology as a deformation of symplectic cohomology -- Fabian Ziltener, A symplectic embedding of the cube with minimal sections and a question by Schlenk. |
| Record Nr. | UNISA-996503548303316 |
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds / / Chin-Yu Hsiao
| Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds / / Chin-Yu Hsiao |
| Autore | Hsiao Chin-Yu |
| Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2018] |
| Descrizione fisica | 1 online resource (154 pages) |
| Disciplina | 516.3/6 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Embedding theorems
CR submanifolds Manifolds (Mathematics) Embeddings (Mathematics) Kernel functions Asymptotic expansions |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-4750-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480409503321 |
Hsiao Chin-Yu
|
||
| Providence, RI : , : American Mathematical Society, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds / / Chin-Yu Hsiao
| Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds / / Chin-Yu Hsiao |
| Autore | Hsiao Chin-Yu |
| Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2018] |
| Descrizione fisica | 1 online resource (154 pages) |
| Disciplina | 516.3/6 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Embedding theorems
CR submanifolds Manifolds (Mathematics) Embeddings (Mathematics) Kernel functions Asymptotic expansions |
| ISBN | 1-4704-4750-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction and statement of the main results -- 2. More properties of the phase [capital letter Pi](x, y, s) -- 3. Preliminaries -- 4. Semi-classical [box](q)b,k and the characteristic manifold for [box](q)b,k -- 5. The heat equation for the local operatot [box](q)s -- 6. Semi-classical Hodge decomposition theorems for [box](q)s,k in some non-degenerate part of E -- 7. Szegîo kernel asymptotic for lower energy forms -- 8. Almost Kodaira embedding Theorems on CR manifolds -- 9. Asymptotic expension of the Szegîo kernel -- 10. Szegîo kernel asymptotics and Kodairan embedding theorems on CR manifolds with transversal CR, S1 actions -- 11. Szegîo kernel asymptotics on some non-compact CR manifolds -- 12. The proof of Theorem 5.28. |
| Record Nr. | UNINA-9910793167203321 |
|
Hsiao Chin-Yu
|
||
| Providence, RI : , : American Mathematical Society, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds / / Chin-Yu Hsiao
| Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds / / Chin-Yu Hsiao |
| Autore | Hsiao Chin-Yu |
| Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2018] |
| Descrizione fisica | 1 online resource (154 pages) |
| Disciplina | 516.3/6 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Embedding theorems
CR submanifolds Manifolds (Mathematics) Embeddings (Mathematics) Kernel functions Asymptotic expansions |
| ISBN | 1-4704-4750-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction and statement of the main results -- 2. More properties of the phase [capital letter Pi](x, y, s) -- 3. Preliminaries -- 4. Semi-classical [box](q)b,k and the characteristic manifold for [box](q)b,k -- 5. The heat equation for the local operatot [box](q)s -- 6. Semi-classical Hodge decomposition theorems for [box](q)s,k in some non-degenerate part of E -- 7. Szegîo kernel asymptotic for lower energy forms -- 8. Almost Kodaira embedding Theorems on CR manifolds -- 9. Asymptotic expension of the Szegîo kernel -- 10. Szegîo kernel asymptotics and Kodairan embedding theorems on CR manifolds with transversal CR, S1 actions -- 11. Szegîo kernel asymptotics on some non-compact CR manifolds -- 12. The proof of Theorem 5.28. |
| Record Nr. | UNINA-9910817934703321 |
|
Hsiao Chin-Yu
|
||
| Providence, RI : , : American Mathematical Society, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tensegrity Structures [[electronic resource] ] : Form, Stability, and Symmetry / / by Jing Yao Zhang, Makoto Ohsaki
| Tensegrity Structures [[electronic resource] ] : Form, Stability, and Symmetry / / by Jing Yao Zhang, Makoto Ohsaki |
| Autore | Zhang Jing Yao |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Tokyo : , : Springer Japan : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (307 p.) |
| Disciplina | 574.8764 |
| Collana | Mathematics for Industry |
| Soggetto topico |
Mechanics
Mechanics, Applied Manifolds (Mathematics) Complex manifolds Engineering design Interior architecture Interiors Statistical physics Solid Mechanics Manifolds and Cell Complexes (incl. Diff.Topology) Engineering Design Interior Architecture and Design Applications of Nonlinear Dynamics and Chaos Theory Classical Mechanics |
| ISBN | 4-431-54813-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Equilibrium -- Self-Equilibrium Analysis by Symmetry -- Stability -- Force Density Method -- Prismatic Structures of Dihedral Symmetry -- Star-Shaped Structures of Dihedral Symmetry -- Regular Truncated Tetrahedral Structures -- Linear Algebra -- Affine Motions and Rigidity Condition -- Tensegrity Tower -- Group Representation Theory and Symmetry-Adapted Matrix. |
| Record Nr. | UNINA-9910299831003321 |
|
Zhang Jing Yao
|
||
| Tokyo : , : Springer Japan : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tensor Valuations and Their Applications in Stochastic Geometry and Imaging [[electronic resource] /] / edited by Eva B. Vedel Jensen, Markus Kiderlen
| Tensor Valuations and Their Applications in Stochastic Geometry and Imaging [[electronic resource] /] / edited by Eva B. Vedel Jensen, Markus Kiderlen |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XIV, 462 p. 25 illus., 16 illus. in color.) |
| Disciplina | 515.63 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Geometry
Manifolds (Mathematics) Complex manifolds Probabilities Manifolds and Cell Complexes (incl. Diff.Topology) Probability Theory and Stochastic Processes |
| ISBN | 3-319-51951-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Valuations on Convex Bodies – the Classical Basic Facts: Rolf Schneider -- 2 Tensor Valuations and Their Local Versions: Daniel Hug and Rolf Schneider -- 3 Structures on Valuations: Semyon Alesker -- 4 Integral Geometry and Algebraic Structures for Tensor Valuations: Andreas Bernig and Daniel Hug -- 5 Crofton Formulae for Tensor-Valued Curvature Measures: Daniel Hug and Jan A. Weis -- 6 A Hadwiger-Type Theorem for General Tensor Valuations: Franz E. Schuster -- 7 Rotation Invariant Valuations: Eva B.Vedel Jensen and Markus Kiderlen -- 8 Valuations on Lattice Polytopes: Károly J. Böröczky and Monika Ludwig -- 9 Valuations and Curvature Measures on Complex Spaces: Andreas Bernig -- 10 Integral Geometric Regularity: Joseph H.G. Fu -- 11 Valuations and Boolean Models: Julia Hörrmann and Wolfgang Weil -- 12 Second Order Analysis of Geometric Functionals of Boolean Models: Daniel Hug, Michael A. Klatt, Günter Last and Matthias Schulte -- 13 Cell Shape Analysis of Random Tessellations Based on Minkowski Tensors: Michael A. Klatt, Günter Last, Klaus Mecke, Claudia Redenbach, Fabian M. Schaller, Gerd E. Schröder-Turk -- 14 Stereological Estimation of Mean Particle Volume Tensors in R3 from Vertical Sections: Astrid Kousholt, Johanna F. Ziegel, Markus Kiderlen -- 15 Valuations in Image Analysis: Anne Marie Svane. |
| Record Nr. | UNINA-9910257379903321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Tensor Valuations and Their Applications in Stochastic Geometry and Imaging [[electronic resource] /] / edited by Eva B. Vedel Jensen, Markus Kiderlen
| Tensor Valuations and Their Applications in Stochastic Geometry and Imaging [[electronic resource] /] / edited by Eva B. Vedel Jensen, Markus Kiderlen |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XIV, 462 p. 25 illus., 16 illus. in color.) |
| Disciplina | 515.63 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Geometry
Manifolds (Mathematics) Complex manifolds Probabilities Manifolds and Cell Complexes (incl. Diff.Topology) Probability Theory and Stochastic Processes |
| ISBN | 3-319-51951-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Valuations on Convex Bodies – the Classical Basic Facts: Rolf Schneider -- 2 Tensor Valuations and Their Local Versions: Daniel Hug and Rolf Schneider -- 3 Structures on Valuations: Semyon Alesker -- 4 Integral Geometry and Algebraic Structures for Tensor Valuations: Andreas Bernig and Daniel Hug -- 5 Crofton Formulae for Tensor-Valued Curvature Measures: Daniel Hug and Jan A. Weis -- 6 A Hadwiger-Type Theorem for General Tensor Valuations: Franz E. Schuster -- 7 Rotation Invariant Valuations: Eva B.Vedel Jensen and Markus Kiderlen -- 8 Valuations on Lattice Polytopes: Károly J. Böröczky and Monika Ludwig -- 9 Valuations and Curvature Measures on Complex Spaces: Andreas Bernig -- 10 Integral Geometric Regularity: Joseph H.G. Fu -- 11 Valuations and Boolean Models: Julia Hörrmann and Wolfgang Weil -- 12 Second Order Analysis of Geometric Functionals of Boolean Models: Daniel Hug, Michael A. Klatt, Günter Last and Matthias Schulte -- 13 Cell Shape Analysis of Random Tessellations Based on Minkowski Tensors: Michael A. Klatt, Günter Last, Klaus Mecke, Claudia Redenbach, Fabian M. Schaller, Gerd E. Schröder-Turk -- 14 Stereological Estimation of Mean Particle Volume Tensors in R3 from Vertical Sections: Astrid Kousholt, Johanna F. Ziegel, Markus Kiderlen -- 15 Valuations in Image Analysis: Anne Marie Svane. |
| Record Nr. | UNISA-996466645003316 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Test configurations, stabilities and canonical Kähler metrics : complex geometry by the energy method / / Toshiki Mabuchi
| Test configurations, stabilities and canonical Kähler metrics : complex geometry by the energy method / / Toshiki Mabuchi |
| Autore | Mabuchi Toshiki <1950-> |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (x, 128 pages) : illustrations |
| Disciplina | 516.36 |
| Collana | SpringerBriefs in Mathematics |
| Soggetto topico |
Geometry, Differential
Manifolds (Mathematics) Moduli theory Geometria diferencial Varietats (Matemàtica) Teoria de mòduls |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-0500-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Introduction -- 1.1 Preliminaries -- 1.2 The Deligne Pairings with Metrics -- 1.3 Definition of the Chow Norm -- 1.4 The First and Second Variation Formulas for the Chow Norm -- Problems -- 2 The Donaldson-Futaki Invariant -- 2.1 Test Configurations -- 2.2 Test Configurations Associated to One-Parameter Groups -- 2.3 Definition of the Donaldson-Futaki Invariant -- 2.4 Expression of DF1 as an Intersection Number -- 2.5 The Relationship Between the Chow Norm and DFi -- Problems -- 3 Canonical Kähler Metrics -- 3.1 Canonical Kähler Metrics on Compact Complex Manifolds -- 3.2 Conformal Changes of Metrics by Hamiltonian Functions -- Problems -- 4 Norms for Test Configurations -- 4.1 Norms for Test Configurations of a Fixed Exponent -- 4.2 The Asymptotic 1-norm of a Test Configuration -- 4.3 Relative Norms for Test Configurations -- 4.4 The Twisted Kodaira Embedding -- 4.5 The Donaldson-Futaki Invariant for Sequences -- Problems -- 5 Stabilities for Polarized Algebraic Manifolds -- 5.1 The Chow Stability -- 5.2 The Hilbert Stability -- 5.3 K-stability -- 5.4 Relative Stability -- Problems -- 6 The Yau-Tian-Donaldson Conjecture -- 6.1 The Calabi Conjecture -- 6.2 The Yau-Tian-Donaldson Conjecture -- 6.3 The K-Energy -- 6.4 Extremal Kähler Versions of the Conjecture -- Problems -- 7 Stability Theorem -- 7.1 Strong K-Semistability of CSC Kähler Manifolds -- 7.2 Relative Balanced Metrics -- 7.3 Strong Relative K-Semistability of Extremal Kähler Manifolds -- 7.4 K-Polystability of Extremal Kähler Manifolds -- 7.5 A Reformulation of the Definition of the Invariant F ({μj}) -- Problems -- 8 Existence Problem -- 8.1 A Result of He on the Existence of Extremal Kähler Metrics -- 8.2 Some Observations on the Existence Problem -- Problems -- 9 Canonical Kähler Metrics on Fano Manifolds -- 9.1 Kähler Metrics in Anticanonical Class.
9.2 Extremal Vector Fields -- 9.3 An Obstruction of Matsushima's Type -- 9.4 An Invariant as an Obstruction to the Existence -- 9.5 Examples of Generalized Kähler-Einstein Metrics -- 9.6 Extremal Metrics on Generalized Kähler-Einstein Manifolds -- 9.7 The Product Formula for the Invariant γX -- 9.8 Yao's Result for Toric Fano Manifolds -- 9.9 Hisamoto's Result on the Existence Problem -- Problems -- A Geometry of Pseudo-Normed Graded Algebras -- A.1 Differential Geometric Viewpoints -- A.2 Lp-Spaces -- A.3 An Orthogonal Direct Sum of Lp-Spaces -- A.4 A Boundedness Theorem for Lp-Spaces -- A.5 The Moduli Space of Lp-Spaces -- A.6 A Multiplicative System of Lp-Spaces -- A.7 Degeneration Phenomena -- Solutions -- Problems of Chap.1 -- Problems of Chap.2 -- Problems of Chap.3 -- Problems of Chap.4 -- Problems of Chap.5 -- Problems of Chap.6 -- Problems of Chap.7 -- Problems of Chap.8 -- Problems of Chap.9 -- Bibliography. |
| Record Nr. | UNINA-9910484266903321 |
|
Mabuchi Toshiki <1950->
|
||
| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Test configurations, stabilities and canonical Kähler metrics : complex geometry by the energy method / / Toshiki Mabuchi
| Test configurations, stabilities and canonical Kähler metrics : complex geometry by the energy method / / Toshiki Mabuchi |
| Autore | Mabuchi Toshiki <1950-> |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (x, 128 pages) : illustrations |
| Disciplina | 516.36 |
| Collana | SpringerBriefs in Mathematics |
| Soggetto topico |
Geometry, Differential
Manifolds (Mathematics) Moduli theory Geometria diferencial Varietats (Matemàtica) Teoria de mòduls |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-0500-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Introduction -- 1.1 Preliminaries -- 1.2 The Deligne Pairings with Metrics -- 1.3 Definition of the Chow Norm -- 1.4 The First and Second Variation Formulas for the Chow Norm -- Problems -- 2 The Donaldson-Futaki Invariant -- 2.1 Test Configurations -- 2.2 Test Configurations Associated to One-Parameter Groups -- 2.3 Definition of the Donaldson-Futaki Invariant -- 2.4 Expression of DF1 as an Intersection Number -- 2.5 The Relationship Between the Chow Norm and DFi -- Problems -- 3 Canonical Kähler Metrics -- 3.1 Canonical Kähler Metrics on Compact Complex Manifolds -- 3.2 Conformal Changes of Metrics by Hamiltonian Functions -- Problems -- 4 Norms for Test Configurations -- 4.1 Norms for Test Configurations of a Fixed Exponent -- 4.2 The Asymptotic 1-norm of a Test Configuration -- 4.3 Relative Norms for Test Configurations -- 4.4 The Twisted Kodaira Embedding -- 4.5 The Donaldson-Futaki Invariant for Sequences -- Problems -- 5 Stabilities for Polarized Algebraic Manifolds -- 5.1 The Chow Stability -- 5.2 The Hilbert Stability -- 5.3 K-stability -- 5.4 Relative Stability -- Problems -- 6 The Yau-Tian-Donaldson Conjecture -- 6.1 The Calabi Conjecture -- 6.2 The Yau-Tian-Donaldson Conjecture -- 6.3 The K-Energy -- 6.4 Extremal Kähler Versions of the Conjecture -- Problems -- 7 Stability Theorem -- 7.1 Strong K-Semistability of CSC Kähler Manifolds -- 7.2 Relative Balanced Metrics -- 7.3 Strong Relative K-Semistability of Extremal Kähler Manifolds -- 7.4 K-Polystability of Extremal Kähler Manifolds -- 7.5 A Reformulation of the Definition of the Invariant F ({μj}) -- Problems -- 8 Existence Problem -- 8.1 A Result of He on the Existence of Extremal Kähler Metrics -- 8.2 Some Observations on the Existence Problem -- Problems -- 9 Canonical Kähler Metrics on Fano Manifolds -- 9.1 Kähler Metrics in Anticanonical Class.
9.2 Extremal Vector Fields -- 9.3 An Obstruction of Matsushima's Type -- 9.4 An Invariant as an Obstruction to the Existence -- 9.5 Examples of Generalized Kähler-Einstein Metrics -- 9.6 Extremal Metrics on Generalized Kähler-Einstein Manifolds -- 9.7 The Product Formula for the Invariant γX -- 9.8 Yao's Result for Toric Fano Manifolds -- 9.9 Hisamoto's Result on the Existence Problem -- Problems -- A Geometry of Pseudo-Normed Graded Algebras -- A.1 Differential Geometric Viewpoints -- A.2 Lp-Spaces -- A.3 An Orthogonal Direct Sum of Lp-Spaces -- A.4 A Boundedness Theorem for Lp-Spaces -- A.5 The Moduli Space of Lp-Spaces -- A.6 A Multiplicative System of Lp-Spaces -- A.7 Degeneration Phenomena -- Solutions -- Problems of Chap.1 -- Problems of Chap.2 -- Problems of Chap.3 -- Problems of Chap.4 -- Problems of Chap.5 -- Problems of Chap.6 -- Problems of Chap.7 -- Problems of Chap.8 -- Problems of Chap.9 -- Bibliography. |
| Record Nr. | UNISA-996466550003316 |
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Mabuchi Toshiki <1950->
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| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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