The ambient metric [[electronic resource] /] / Charles Fefferman, C. Robin Graham |
Autore | Fefferman Charles <1949-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012 |
Descrizione fisica | 1 online resource (124 p.) |
Disciplina | 516.3/7 |
Altri autori (Persone) | GrahamC. Robin <1954-> |
Collana | Annals of mathematics studies |
Soggetto topico |
Conformal geometry
Conformal invariants |
Soggetto genere / forma | Electronic books. |
Soggetto non controllato |
Eistein metric
Fuchsian problems Lorentz metric Poincar metric Poincar metrics Ricci curvature Riemannian geometry Riemannian metrics Taylor expansion Weyl invariants ambient curvature ambient metric forms ambient metric conformal curvature tensors conformal geometry conformal infinity conformal invariants conformal manifold flat manifolds geodesic normal coordinates infinite-order formal theory jet isomorphism theorem manifold n+2 dimensions parabolic invariant theory power series pseudo-Riemannian metric scalar invariants self-dual Einstein metric theorem |
ISBN |
1-283-29095-2
9786613290953 1-4008-4058-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Chapter One. Introduction -- Chapter Two. Ambient Metrics -- Chapter Three. Formal Theory -- Chapter Four. Poincaré Metrics -- Chapter Five. Self-dual Poincaré Metrics -- Chapter Six. Conformal Curvature Tensors -- Chapter Seven. Conformally Flat and Conformally Einstein Spaces -- Chapter Eight. Jet Isomorphism -- Chapter Nine. Scalar Invariants -- Bibliography -- Index |
Record Nr. | UNINA-9910461803903321 |
Fefferman Charles <1949->
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Princeton, : Princeton University Press, 2012 | ||
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Lo trovi qui: Univ. Federico II | ||
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The ambient metric [[electronic resource] /] / Charles Fefferman, C. Robin Graham |
Autore | Fefferman Charles <1949-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012 |
Descrizione fisica | 1 online resource (124 p.) |
Disciplina | 516.3/7 |
Altri autori (Persone) | GrahamC. Robin <1954-> |
Collana | Annals of mathematics studies |
Soggetto topico |
Conformal geometry
Conformal invariants |
Soggetto non controllato |
Eistein metric
Fuchsian problems Lorentz metric Poincar metric Poincar metrics Ricci curvature Riemannian geometry Riemannian metrics Taylor expansion Weyl invariants ambient curvature ambient metric forms ambient metric conformal curvature tensors conformal geometry conformal infinity conformal invariants conformal manifold flat manifolds geodesic normal coordinates infinite-order formal theory jet isomorphism theorem manifold n+2 dimensions parabolic invariant theory power series pseudo-Riemannian metric scalar invariants self-dual Einstein metric theorem |
ISBN |
1-283-29095-2
9786613290953 1-4008-4058-9 |
Classificazione | MAT012020 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Chapter One. Introduction -- Chapter Two. Ambient Metrics -- Chapter Three. Formal Theory -- Chapter Four. Poincaré Metrics -- Chapter Five. Self-dual Poincaré Metrics -- Chapter Six. Conformal Curvature Tensors -- Chapter Seven. Conformally Flat and Conformally Einstein Spaces -- Chapter Eight. Jet Isomorphism -- Chapter Nine. Scalar Invariants -- Bibliography -- Index |
Record Nr. | UNINA-9910789714703321 |
Fefferman Charles <1949->
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Princeton, : Princeton University Press, 2012 | ||
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Lo trovi qui: Univ. Federico II | ||
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Blow-up theory for elliptic PDEs in Riemannian geometry [[electronic resource] /] / Olivier Druet, Emmanuel Hebey, Frédéric Robert |
Autore | Druet Olivier <1976-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2004 |
Descrizione fisica | 1 online resource (227 p.) |
Disciplina | 515/.353 |
Altri autori (Persone) |
HebeyEmmanuel <1964->
RobertFrédéric <1974-> |
Collana | Mathematical Notes |
Soggetto topico |
Calculus of variations
Differential equations, Nonlinear Geometry, Riemannian |
Soggetto non controllato |
Asymptotic analysis
Cayley–Hamilton theorem Contradiction Curvature Diffeomorphism Differentiable manifold Equation Estimation Euclidean space Laplace's equation Maximum principle Nonlinear system Polynomial Princeton University Press Result Ricci curvature Riemannian geometry Riemannian manifold Simply connected space Sphere theorem (3-manifolds) Stone's theorem Submanifold Subsequence Theorem Three-dimensional space (mathematics) Topology Unit sphere |
ISBN |
1-282-08723-1
1-282-93537-2 9786612935374 9786612087233 1-4008-2616-0 |
Classificazione | 31.45 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Background Material -- Chapter 2. The Model Equations -- Chapter 3. Blow-up Theory in Sobolev Spaces -- Chapter 4. Exhaustion and Weak Pointwise Estimates -- Chapter 5. Asymptotics When the Energy Is of Minimal Type -- Chapter 6. Asymptotics When the Energy Is Arbitrary -- Appendix A. The Green's Function on Compact Manifolds -- Appendix B. Coercivity Is a Necessary Condition -- Bibliography |
Record Nr. | UNINA-9910778097803321 |
Druet Olivier <1976->
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Princeton, N.J., : Princeton University Press, c2004 | ||
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Lo trovi qui: Univ. Federico II | ||
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Comparison Finsler Geometry / Shin-ichi Ohta |
Autore | Ohta, Shin-ichi |
Pubbl/distr/stampa | Cham, : Springer, 2021 |
Descrizione fisica | xxii, 316 p. : ill. ; 24 cm |
Soggetto topico |
53-XX - Differential geometry [MSC 2020]
53C60 - Global differential geometry of Finsler spaces and generalizations (areal metrics) [MSC 2020] |
Soggetto non controllato |
Comparison geometry in Finsler context
Curve-dimension condition Finsler geometry Finsler geometry for Riemannian geometers Finsler manifolds Functional inequalities in Finsler context Gamma-calculus Heat flow on Finsler manifolds Introduction to Finsler geometry Lower Ricci Curvature Bounds Needle decomposition Nonlinear Laplacian on Finsler manifolds Ricci curvature Weighted Ricci curvature |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0274643 |
Ohta, Shin-ichi
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Cham, : Springer, 2021 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Comparison Finsler Geometry / Shin-ichi Ohta |
Autore | Ohta, Shin-ichi |
Pubbl/distr/stampa | Cham, : Springer, 2021 |
Descrizione fisica | xxii, 316 p. : ill. ; 24 cm |
Soggetto topico |
53-XX - Differential geometry [MSC 2020]
53C60 - Global differential geometry of Finsler spaces and generalizations (areal metrics) [MSC 2020] |
Soggetto non controllato |
Comparison geometry in Finsler context
Curve-dimension condition Finsler geometry Finsler geometry for Riemannian geometers Finsler manifolds Functional inequalities in Finsler context Gamma-calculus Heat flow on Finsler manifolds Introduction to Finsler geometry Lower Ricci Curvature Bounds Needle decomposition Nonlinear Laplacian on Finsler manifolds Ricci curvature Weighted Ricci curvature |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN00274643 |
Ohta, Shin-ichi
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Cham, : Springer, 2021 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Curvature and Betti Numbers. (AM-32), Volume 32 / / Kentaro Yano, Salomon Trust |
Autore | Trust Salomon |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (205 pages) |
Disciplina |
513.7
516.7* |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Curvature
Geometry, Differential |
Soggetto non controllato |
Abelian integral
Affine connection Algebraic operation Almost periodic function Analytic function Arc length Betti number Coefficient Compact space Complex analysis Complex conjugate Complex dimension Complex manifold Conservative vector field Constant curvature Constant function Continuous function Convex set Coordinate system Covariance and contravariance of vectors Covariant derivative Curvature Derivative Differential form Differential geometry Dimension (vector space) Dimension Einstein manifold Equation Euclidean domain Euclidean geometry Euclidean space Existential quantification Geometry Hausdorff space Hypersphere Killing vector field Kähler manifold Lie group Manifold Metric tensor (general relativity) Metric tensor Mixed tensor One-parameter group Orientability Partial derivative Periodic function Permutation Quantity Ricci curvature Riemannian manifold Scalar (physics) Sectional curvature Self-adjoint Special case Subset Summation Symmetric tensor Symmetrization Tensor algebra Tensor calculus Tensor field Tensor Theorem Torsion tensor Two-dimensional space Uniform convergence Uniform space Unit circle Unit sphere Unit vector Vector field |
ISBN | 1-4008-8220-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter I. Riemannian Manifold -- Chapter II. Harmonic and Killing Vectors -- Chapter III. Harmonic and Killing Tensors -- Chapter IV. Harmonic and Killing Tensors in Flat Manifolds -- Chapter V. Deviation from Flatness -- Chapter VI. Semi-simple Group Spaces -- Chapter VII. Pseudo-harmonic Tensors and Pseudo-Killing Tensors in Metric Manifolds with Torsion -- Chapter VIII. Kaehler Manifold -- Chapter IX. Supplements / Bochner, S. -- Bibliography -- Backmatter |
Record Nr. | UNINA-9910154748603321 |
Trust Salomon
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Differential Geometry |
Autore | Mihai Ion |
Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2019 |
Descrizione fisica | 1 electronic resource (166 p.) |
Soggetto non controllato |
statistical structure
constant ratio submanifolds Euclidean submanifold framed helices Sasakian statistical manifold L2-harmonic forms Hodge–Laplacian complete connection concircular vector field cylindrical hypersurface k-th generalized Tanaka–Webster connection Casorati curvature symplectic curves generalized 1-type Gauss map rectifying submanifold manifold with singularity ruled surface Minkowski plane compact complex surfaces conjugate connection T-submanifolds L2-Stokes theorem inextensible flow shape operator generalized normalized ?-Casorati curvature Sasakian manifold centrodes circular helices non-flat complex space form invariant Frenet frame Darboux frame trans-Sasakian 3-manifold singular points symplectic curvatures Kähler–Einstein metrics conjugate symmetric statistical structure sectional ?-curvature circular rectifying curves developable surface capacity Ricci soliton Reeb flow symmetry Minkowskian pseudo-angle conical surface lie derivative position vector field pinching of the curvatures Hessian manifolds Minkowskian angle Hessian sectional curvature Minkowskian length lightlike surface affine sphere concurrent vector field slant affine hypersurface anti-invariant statistical manifolds Ricci operator C-Bochner tensor Ricci curvature real hypersurface scalar curvature framed rectifying curves |
ISBN | 3-03921-801-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910367742103321 |
Mihai Ion
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MDPI - Multidisciplinary Digital Publishing Institute, 2019 | ||
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Lo trovi qui: Univ. Federico II | ||
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Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / / Phillip A. Griffiths |
Autore | Griffiths Phillip A. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (112 pages) : illustrations |
Disciplina | 515/.9 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Holomorphic mappings |
Soggetto non controllato |
Algebraic variety
Analytic function Analytic set Armand Borel Big O notation Canonical bundle Cartesian coordinate system Characteristic function (probability theory) Characterization (mathematics) Chern class Compact Riemann surface Compact space Complex analysis Complex manifold Complex projective space Corollary Counting Curvature Degeneracy (mathematics) Derivative Differential form Dimension Divisor Elementary proof Entire function Equation Exponential growth Gaussian curvature Hermann Weyl Hodge theory Holomorphic function Hyperplane Hypersurface Infinite product Integral geometry Invariant measure Inverse problem Jacobian matrix and determinant Kähler manifold Line bundle Linear equation Logarithmic derivative Manifold Meromorphic function Modular form Monograph Nevanlinna theory Nonlinear system Phillip Griffiths Picard theorem Polynomial Projective space Q.E.D. Quantity Ricci curvature Riemann sphere Scientific notation Several complex variables Special case Stokes' theorem Subset Summation Theorem Theory Uniformization theorem Unit square Volume form |
ISBN | 1-4008-8148-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INDEX OF NOTATIONS -- INTRODUCTION -- CHAPTER 1. ORDERS OF GROWTH -- CHAPTER 2. THE APPEARANCE OF CURVATURE -- CHAPTER 3. THE DEFECT RELATIONS -- BIBLIOGRAPHY -- Backmatter |
Record Nr. | UNINA-9910154753903321 |
Griffiths Phillip A.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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The hypoelliptic Laplacian and Ray-Singer metrics [[electronic resource] /] / Jean-Michel Bismut, Gilles Lebeau |
Autore | Bismut Jean-Michel |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, 2008 |
Descrizione fisica | 1 online resource (378 p.) |
Disciplina | 515/.7242 |
Altri autori (Persone) | LebeauGilles |
Collana | Annals of mathematics studies |
Soggetto topico |
Differential equations, Hypoelliptic
Laplacian operator Metric spaces |
Soggetto non controllato |
Alexander Grothendieck
Analytic function Asymptote Asymptotic expansion Berezin integral Bijection Brownian dynamics Brownian motion Chaos theory Chern class Classical Wiener space Clifford algebra Cohomology Combination Commutator Computation Connection form Coordinate system Cotangent bundle Covariance matrix Curvature tensor Curvature De Rham cohomology Derivative Determinant Differentiable manifold Differential operator Dirac operator Direct proof Eigenform Eigenvalues and eigenvectors Ellipse Embedding Equation Estimation Euclidean space Explicit formula Explicit formulae (L-function) Feynman–Kac formula Fiber bundle Fokker–Planck equation Formal power series Fourier series Fourier transform Fredholm determinant Function space Girsanov theorem Ground state Heat kernel Hilbert space Hodge theory Holomorphic function Holomorphic vector bundle Hypoelliptic operator Integration by parts Invertible matrix Logarithm Malliavin calculus Martingale (probability theory) Matrix calculus Mellin transform Morse theory Notation Parameter Parametrix Parity (mathematics) Polynomial Principal bundle Probabilistic method Projection (linear algebra) Rectangle Resolvent set Ricci curvature Riemann–Roch theorem Scientific notation Self-adjoint operator Self-adjoint Sign convention Smoothness Sobolev space Spectral theory Square root Stochastic calculus Stochastic process Summation Supertrace Symmetric space Tangent space Taylor series Theorem Theory Torus Trace class Translational symmetry Transversality (mathematics) Uniform convergence Variable (mathematics) Vector bundle Vector space Wave equation |
ISBN |
1-282-45837-X
9786612458378 1-4008-2906-2 |
Classificazione | SK 620 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Elliptic Riemann-Roch-Grothendieck and flat vector bundles -- Chapter 2. The hypoelliptic Laplacian on the cotangent bundle -- Chapter 3. Hodge theory, the hypoelliptic Laplacian and its heat kernel -- Chapter 4. Hypoelliptic Laplacians and odd Chern forms -- Chapter 5. The limit as t → +∞ and b → 0 of the superconnection forms -- Chapter 6. Hypoelliptic torsion and the hypoelliptic Ray-Singer metrics -- Chapter 7. The hypoelliptic torsion forms of a vector bundle -- Chapter 8. Hypoelliptic and elliptic torsions: a comparison formula -- Chapter 9. A comparison formula for the Ray-Singer metrics -- Chapter 10. The harmonic forms for b → 0 and the formal Hodge theorem -- Chapter 11. A proof of equation (8.4.6) -- Chapter 12. A proof of equation (8.4.8) -- Chapter 13. A proof of equation (8.4.7) -- Chapter 14. The integration by parts formula -- Chapter 15. The hypoelliptic estimates -- Chapter 16. Harmonic oscillator and the J0 function -- Chapter 17. The limit of A'2φb,±H as b → 0 -- Bibliography -- Subject Index -- Index of Notation |
Record Nr. | UNINA-9910781084803321 |
Bismut Jean-Michel
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Princeton, : Princeton University Press, 2008 | ||
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Lo trovi qui: Univ. Federico II | ||
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Inequalities in Geometry and Applications |
Autore | Vilcu Gabriel Eduard |
Pubbl/distr/stampa | Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 |
Descrizione fisica | 1 electronic resource (208 p.) |
Soggetto topico |
Research & information: general
Mathematics & science |
Soggetto non controllato |
Erdös–Mordell inequality
Barrow’s inequality triangle interior point q-integral inequality strongly preinvex function Simpson inequality quantum integral statistical warped product submanifold statistical manifold B.Y.Chen inequality Casorati curvatures statistical soliton Wintgen inequality generalized complex space form generalized Sasakian space form Lagrangian submanifold Legendrian submanifold Einstein manifold sectional curvature Betti number Tachibana number spherical space form slant submanifolds generalized Sasakian space forms closed form conformal form Maslov form legendrian submanifolds sasakian space forms obata differential equation isometric immersion Casorati curvature statistical submanifold holomorphic statistical manifold clifford minimal hypersurfaces sasakian structure integral inequalities reeb function contact vector field δ(2,2)-invariant Chen inequalities Lagrangian submanifolds quaternionic space forms complex space forms warped product sphere theorem Laplacian inequalities diffeomorphic Ricci curvature skew CR-warped product submanifolds complex space form CR-warped product submanifolds semi slant warped product submanifolds almost Hermitian manifolds Kähler identities Lefschetz operator isoperimetric problem minimal perimeter log-concave functions isotropic measure extrinsic principal tangential directions principal first normal directions |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910557671403321 |
Vilcu Gabriel Eduard
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Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 | ||
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Lo trovi qui: Univ. Federico II | ||
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