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Ergodic Theory and Negative Curvature [[electronic resource] ] : CIRM Jean-Morlet Chair, Fall 2013 / / edited by Boris Hasselblatt
| Ergodic Theory and Negative Curvature [[electronic resource] ] : CIRM Jean-Morlet Chair, Fall 2013 / / edited by Boris Hasselblatt |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (VII, 328 p. 68 illus., 17 illus. in color.) |
| Disciplina | 515.352 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Dynamics
Ergodic theory Differential geometry Dynamical Systems and Ergodic Theory Differential Geometry |
| ISBN | 3-319-43059-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Introduction to Hyperbolic Dynamics and Ergodic Theory -- 1.1 Introduction -- 1.1.1 Guided Tour -- 1.1.2 Examples -- 1.1.3 Hyperbolic Dynamics -- 1.2 Historical Sketch -- 1.2.1 Homoclinic Tangles -- 1.2.2 Geodesic Flows -- 1.2.3 Boltzmann's Fundamental Postulate -- 1.2.4 Picking Up from Poincaré -- 1.2.5 Modern Hyperbolic Dynamics -- 1.3 Hyperbolic Sets: Shadowing and Expansiveness -- 1.3.1 Definitions -- 1.3.2 Invariant Cones -- 1.3.3 Shadowing, Expansiveness, Closing -- 1.3.4 Specification -- 1.3.5 Spectral Decomposition -- 1.3.6 Stability -- 1.4 The Shadowing Theorem: Stability, Symbolic Models -- 1.4.1 The Shadowing Theorem -- 1.4.2 Stability -- 1.4.3 Markov Models -- 1.5 Basic Ergodic Theory of Hyperbolic Sets -- 1.5.1 Ergodicity and Related Notions -- 1.5.2 The Hopf Argument -- 1.5.3 Mixing from the Hopf Argument -- 1.5.4 Multiple Mixing from the One-Sided Hopf Argument -- 1.6 Contractions and Invariant Manifolds -- 1.6.1 The Contraction-Mapping Principle -- 1.6.2 The Spectrum of a Linear Map -- 1.6.3 Hyperbolic Linear Maps -- 1.6.4 Stable and Unstable Manifolds of a Fixed Point -- 1.6.5 Stable and Unstable Foliations -- 1.6.6 Applications: Livschitz Theory and Local Product Structure -- 1.6.6.1 Exponential Closing -- 1.6.6.2 The Livschitz Theorem -- 1.6.6.3 Smooth Invariant Measures for Anosov Diffeomorphisms -- 1.6.6.4 Local Product Structure -- 1.7 Ergodic Theory -- 1.7.1 Asymptotic Distribution, Invariant Measures -- 1.7.2 Existence of Invariant Measures and Recurrence -- 1.7.3 The Birkhoff Ergodic Theorem -- 1.7.4 Existence of Asymptotic Distribution -- 1.7.5 The Birkhoff Ergodic Theorem for Flows -- 1.7.6 The von Neumann Mean Ergodic Theorem -- 1.7.7 Ergodicity and Unique Ergodicity -- 1.7.8 Isomorphism and Factors -- 1.7.9 Topological and Probabilistic Recurrence -- 1.7.10 Ergodicity of Translations.
1.7.10.1 First Proof of Unique Ergodicity -- 1.7.10.2 Second Proof of Unique Ergodicity -- 1.7.10.3 A Third Proof and an Application -- 1.7.11 Circle Homeomorphisms -- 1.7.12 Extensions of Rotations -- 1.7.13 Ergodicity of Expanding Maps and Toral Automorphisms -- 1.7.14 The Gauss Map -- 1.7.15 Bernoulli Shifts -- 1.7.16 Mixing -- 1.7.17 Toral Translations and Expanding Maps -- 1.7.18 Rates of Mixing and Decay of Correlations -- 1.7.19 Spectral Isomorphism and Invariants -- References -- 2 On Iteration and Asymptotic Solutions of Differential Equations by Jacques Hadamard -- 3 Dynamics of Geodesic and Horocyclic Flows -- 3.1 Introduction -- 3.1.1 First Exercises -- 3.2 Topological Dynamics of the Horocyclic Flow -- 3.2.1 Nonarithmeticity, Mixing of the Geodesic Flow, Density of Horocycles -- 3.2.2 The Horocycle (hsv) Is Dense Iff the Geodesic (gt v) Is Not Quasiminimizing -- 3.2.3 Geometrically Finite Surfaces -- 3.2.4 Some More Exercises -- 3.3 Invariant Measures for the Horocyclic Flow -- 3.3.1 The Hopf Coordinates -- 3.3.2 The Hopf Argument, Ergodicity and Mixing of the Liouville Measure -- 3.3.3 Unique Ergodicity of the Horocyclic Flow -- 3.3.4 The Finite Volume Case -- 3.3.4.1 About the Proof of Unique Ergodicity -- 3.3.4.2 Nondivergence of Horocycles -- 3.3.4.3 Conclusion of the Proof -- 3.3.5 Geometrically Finite Case -- 3.3.5.1 The Patterson-Sullivan Construction -- 3.3.5.2 The Burger-Roblin Measure -- 3.3.5.3 Equidistribution of Horocycles Towards the Bowen-Margulis Measure -- 3.3.6 Geometrically Infinite Surfaces -- 3.3.7 Exercises -- References -- 4 Ergodicity of the Weil-Petersson Geodesic Flow -- 4.1 The Proof of Ergodicity -- 4.1.1 The Ergodicity Theorem -- 4.1.2 Hyperbolic Dynamics -- 4.1.3 The Hopf Argument -- 4.1.4 Nonuniform Hyperbolicity -- 4.1.5 Addressing Singularities: The Katok-Strelcyn Criteria. 4.1.6 The Case of the Punctured Torus -- 4.2 Geodesic Flows -- 4.2.1 Vertical and Horizontal Subspaces and the Sasaki Metric -- 4.2.2 The Geodesic Flow and Jacobi Fields -- 4.2.3 Matrix Jacobi and Riccati Equations -- 4.2.4 Perpendicular Jacobi Fields and Invariant Subbundles -- 4.2.5 Consequences of Negative Curvature and Unstable Jacobi Fields -- 4.3 An Ergodicity Criterion for Incomplete Geodesic Flows -- References -- 5 Ergodicity of Geodesic Flows on Incomplete Negatively Curved Manifolds -- 5.1 Introduction -- 5.1.1 Ergodicity Criterion for a Certain Class of Geodesic Flows -- 5.1.2 Outline of Proof of Theorem 5.1.1 -- 5.1.2.1 Hopf's Argument for Anosov Systems -- 5.1.2.2 Hopf's Argument in the Context of Singular Hyperbolic Geodesic Flows -- 5.1.3 Organization of the Text -- 5.2 Geometry of Tangent Bundles -- 5.2.1 Riemannian Metrics and Curvature Tensors -- 5.2.2 The Tangent Bundle to a Tangent Bundle -- 5.3 First Derivative of Geodesic Flows and Jacobi Fields -- 5.3.1 Computation of the First Derivative of Geodesic Flows -- 5.3.2 Perpendicular Jacobi Fields and Invariant Subbundles -- 5.3.3 Matrix Jacobi and Ricatti Equations -- 5.3.4 An Estimate for the First Derivative of a Geodesic Flow -- 5.4 Hyperbolicity of Certain Geodesic Flows -- 5.5 Stable Manifolds of Certain Geodesic Flows -- 5.5.1 Local (Pesin) Stable Manifolds for Certain Geodesic Flows -- 5.5.2 Global Stable Manifolds of Certain Geodesic Flows -- 5.5.2.1 Stable Jacobi Fields and Stable Horospheres -- 5.5.2.2 Geometry of the Stable and Unstable Horospheres -- 5.5.2.3 Absolute Continuity of Global Stable Manifolds -- 5.6 Proof of Theorem 5.1.1 via Hopf's Argument -- References -- 6 The Dynamics of the Weil-Petersson Flow -- 6.1 Introduction -- 6.1.1 An Overview of the Dynamics of WP Flow -- 6.1.2 Ergodicity of WP Flow: Outline of Proof. 6.1.2.1 A Quick Review of Hopf's Argument -- 6.1.2.2 Hopf's Argument in the Context of WP Flow -- 6.1.2.3 A Brief Comment on the Verification of the Ergodicity Criterion for WP Flow -- 6.1.3 Rates of Mixing of WP Flow -- 6.1.4 Organization of the Text -- 6.2 Moduli Spaces of Riemann Surfaces and the Weil-Petersson Metric -- 6.2.1 Definition and Examples of Moduli Spaces -- 6.2.2 Teichmüller Metric -- 6.2.3 Teichmüller Spaces and Mapping-Class Groups -- 6.2.4 Fenchel-Nielsen Coordinates -- 6.2.5 Cotangent Bundle to Moduli Spaces of Riemann Surfaces -- 6.2.6 Integrable Quadratic Differentials -- 6.2.7 Teichmüller and Weil-Petersson Metrics -- 6.2.8 Ergodicity of WP Flow: Outline of Proof Revisited -- 6.3 Geometry of the Weil-Petersson Metric -- 6.3.1 Items (I) and (II) of Theorem 3 for WP Metric -- 6.3.2 Item (III) of Theorem 3 for WP Metric -- 6.3.3 Item (IV) of Theorem 3 for WP Metric -- 6.3.3.1 Wolpert's Formulas for the Curvatures of the WP Metric -- 6.3.3.2 Bounds for the First Two Derivatives of WP Metric: Overview -- 6.3.3.3 Quasi-Fuchsian Locus QF(S) and McMullen's 1-Forms θWP -- 6.3.3.4 ``Cauchy Estimate'' of ωWP After Burns-Masur-Wilkinson -- 6.3.4 Item (V) of Theorem 3 for WP Metric -- 6.3.5 Item (VI) of Theorem 3 for WP Flow -- 6.4 Decay of Correlations for the Weil-Petersson Geodesic Flow -- 6.4.1 Rates of Mixing of the WP Flow on T1Mg,n I: Proof of Theorem 11 -- 6.4.2 Rates of Mixing of the WP Flow on T1Mg,n II: Proof of Theorem 12 -- 6.4.2.1 Excursions Near the Cusp and Suspension Flows -- 6.4.2.2 Rapid Mixing of Contact Suspension Flows -- 6.4.2.3 The Derivative of the Roof Function -- 6.4.2.4 Some Estimates for the Expansion Factors Λ(β) -- References -- 7 A Survey of Some Arithmetic Applications of Ergodic Theory in Negative Curvature -- 7.1 Introduction -- 7.2 Arithmetic Applications. 7.2.1 Basic and Classic Diophantine Approximation -- 7.2.2 An Approximation Framework -- 7.2.3 Diophantine Approximation in R by Quadratic Irrationals -- 7.2.4 Equidistribution of Rational Points in R and C -- 7.2.5 Equidistribution and Counting in the Heisenberg Group -- 7.3 Measures in Negative Curvature -- 7.3.1 A Classical Link Between Basic Diophantine Approximation and Hyperbolic Geometry -- 7.3.2 Negative Curvature Background -- 7.3.3 The Various Measures -- 7.4 Geometric Equidistribution and Counting -- 7.4.1 Equidistribution and Counting of Common Perpendicular -- 7.4.2 Towards the Arithmetic Applications -- References. |
| Record Nr. | UNINA-9910257379403321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Ernst Equation and Riemann Surfaces [[electronic resource] ] : Analytical and Numerical Methods / / by Christian Klein, Olaf Richter
| Ernst Equation and Riemann Surfaces [[electronic resource] ] : Analytical and Numerical Methods / / by Christian Klein, Olaf Richter |
| Autore | Klein Christian |
| Edizione | [1st ed. 2005.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2005 |
| Descrizione fisica | 1 online resource (X, 249 p.) |
| Disciplina | 530.15 |
| Collana | Lecture Notes in Physics |
| Soggetto topico |
Physics
Gravitation Differential geometry Mathematical Methods in Physics Classical and Quantum Gravitation, Relativity Theory Differential Geometry |
| ISBN | 3-540-31513-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- The Ernst Equation -- Riemann-Hilbert Problem and Fay's Identity -- Analyticity Properties and Limiting Cases -- Boundary Value Problems and Solutions -- Hyperelliptic Theta Functions and Spectral Methods -- Physical Properties -- Open Problems -- Riemann Surfaces and Theta Functions -- Ernst Equation and Twister Theory -- Index. |
| Record Nr. | UNINA-9910144603803321 |
Klein Christian
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Ernst Equation and Riemann Surfaces [[electronic resource] ] : Analytical and Numerical Methods / / by Christian Klein, Olaf Richter
| Ernst Equation and Riemann Surfaces [[electronic resource] ] : Analytical and Numerical Methods / / by Christian Klein, Olaf Richter |
| Autore | Klein Christian |
| Edizione | [1st ed. 2005.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2005 |
| Descrizione fisica | 1 online resource (X, 249 p.) |
| Disciplina | 530.15 |
| Collana | Lecture Notes in Physics |
| Soggetto topico |
Physics
Gravitation Differential geometry Mathematical Methods in Physics Classical and Quantum Gravitation, Relativity Theory Differential Geometry |
| ISBN | 3-540-31513-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- The Ernst Equation -- Riemann-Hilbert Problem and Fay's Identity -- Analyticity Properties and Limiting Cases -- Boundary Value Problems and Solutions -- Hyperelliptic Theta Functions and Spectral Methods -- Physical Properties -- Open Problems -- Riemann Surfaces and Theta Functions -- Ernst Equation and Twister Theory -- Index. |
| Record Nr. | UNISA-996466829003316 |
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Klein Christian
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Evolution equations of von Karman type [[electronic resource] /] / by Pascal Cherrier, Albert Milani
| Evolution equations of von Karman type [[electronic resource] /] / by Pascal Cherrier, Albert Milani |
| Autore | Cherrier Pascal |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (155 p.) |
| Disciplina | 515.353 |
| Collana | Lecture Notes of the Unione Matematica Italiana |
| Soggetto topico |
Partial differential equations
Physics Differential geometry Partial Differential Equations Mathematical Methods in Physics Differential Geometry |
| ISBN | 3-319-20997-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Operators and Spaces -- Weak Solutions -- Strong Solutions, m + k _ 4 -- Semi-Strong Solutions, m = 2, k = 1. |
| Record Nr. | UNINA-9910300253703321 |
|
Cherrier Pascal
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Extended Abstracts Fall 2013 [[electronic resource] ] : Geometrical Analysis; Type Theory, Homotopy Theory and Univalent Foundations / / edited by Maria del Mar González, Paul C. Yang, Nicola Gambino, Joachim Kock
| Extended Abstracts Fall 2013 [[electronic resource] ] : Geometrical Analysis; Type Theory, Homotopy Theory and Univalent Foundations / / edited by Maria del Mar González, Paul C. Yang, Nicola Gambino, Joachim Kock |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015 |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina | 516.35 |
| Collana | Research Perspectives CRM Barcelona |
| Soggetto topico |
Differential geometry
Algebraic topology Differential Geometry Algebraic Topology |
| ISBN | 3-319-21284-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I: Conference on Geometrical Analysis -- Foreword -- A Positive Mass Theorem in Three Dimensional Cauchy-Riemann Geometry -- On the Rigidity of Gradient Ricci Solitons.- Geometric Structures Modeled on Affine Hypersurfaces and Generalizations of the Einstein-Weyl and Affine Sphere Equations -- Submanifold Conformal Invariants and a Boundary Yamabe Problem -- Variation of the Total Q-Prime Curvature in CR Geometry -- Conformal Invariants from Nullspaces of Conformally Invariant Operators -- Rigidity of Bach-Flat Manifolds -- Uniformizing Surfaces with Conical Singularities -- Recent Results and Open Problems on Conformal Metrics on Rn with Constant Q-Curvature -- Isoperimetric Inequalities for Complete Proper Minimal Submanifolds in Hyperbolic Space -- Total Curvature of Complete Surfaces in Hyperbolic Space -- Constant Scalar Curvature Metrics on Hirzebruch Surfaces -- Isoperimetric Inequalities for Extremal Sobolev Functions -- Part II: Type Theory, Homotopy Theory and Univalent Foundations -- Foreword -- Univalent Categories and the Rezk Completion -- Covering Spaces in Homotopy Type Theory -- Towards a Topological Model of Homotopy Type Theory -- Made-to-Order Weak Factorization Systems -- A Descent Property for the Univalent Foundations -- Classical Field Theory via Cohesive Homotopy Types -- How Intensional is Homotopy Type Theory. |
| Record Nr. | UNINA-9910300257103321 |
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Field Theory, Topology and Condensed Matter Physics [[electronic resource] ] : Proceedings of the Ninth Chris Engelbrecht Summer School in Theoretical Physics Held at Storms River Mouth, Tsitsikamma, National Park, South Africa, 17-28 January 1994 / / edited by Hendrik B. Geyer
| Field Theory, Topology and Condensed Matter Physics [[electronic resource] ] : Proceedings of the Ninth Chris Engelbrecht Summer School in Theoretical Physics Held at Storms River Mouth, Tsitsikamma, National Park, South Africa, 17-28 January 1994 / / edited by Hendrik B. Geyer |
| Edizione | [1st ed. 1995.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1995 |
| Descrizione fisica | 1 online resource (XII, 206 p.) |
| Disciplina | 537.6/2 |
| Collana | Lecture Notes in Physics |
| Soggetto topico |
Condensed matter
Physics Elementary particles (Physics) Quantum field theory Differential geometry Condensed Matter Physics Mathematical Methods in Physics Numerical and Computational Physics, Simulation Elementary Particles, Quantum Field Theory Differential Geometry |
| ISBN | 3-540-49455-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | to conformal invariance in statistical mechanics and to random surface models -- to path integrals, matrix models and strings -- Quantum hall fluids -- Topological orders and edge excitations in fractional quantum hall states -- Topological mechanism of superconductivity. |
| Record Nr. | UNINA-9910257389303321 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Field Theory, Topology and Condensed Matter Physics [[electronic resource] ] : Proceedings of the Ninth Chris Engelbrecht Summer School in Theoretical Physics Held at Storms River Mouth, Tsitsikamma, National Park, South Africa, 17-28 January 1994 / / edited by Hendrik B. Geyer
| Field Theory, Topology and Condensed Matter Physics [[electronic resource] ] : Proceedings of the Ninth Chris Engelbrecht Summer School in Theoretical Physics Held at Storms River Mouth, Tsitsikamma, National Park, South Africa, 17-28 January 1994 / / edited by Hendrik B. Geyer |
| Edizione | [1st ed. 1995.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1995 |
| Descrizione fisica | 1 online resource (XII, 206 p.) |
| Disciplina | 537.6/2 |
| Collana | Lecture Notes in Physics |
| Soggetto topico |
Condensed matter
Physics Elementary particles (Physics) Quantum field theory Differential geometry Condensed Matter Physics Mathematical Methods in Physics Numerical and Computational Physics, Simulation Elementary Particles, Quantum Field Theory Differential Geometry |
| ISBN | 3-540-49455-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | to conformal invariance in statistical mechanics and to random surface models -- to path integrals, matrix models and strings -- Quantum hall fluids -- Topological orders and edge excitations in fractional quantum hall states -- Topological mechanism of superconductivity. |
| Record Nr. | UNISA-996466810403316 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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First Steps in Differential Geometry [[electronic resource] ] : Riemannian, Contact, Symplectic / / by Andrew McInerney
| First Steps in Differential Geometry [[electronic resource] ] : Riemannian, Contact, Symplectic / / by Andrew McInerney |
| Autore | McInerney Andrew |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (XIII, 410 p. 54 illus., 25 illus. in color.) |
| Disciplina | 516.3/6 |
| Collana | Undergraduate Texts in Mathematics |
| Soggetto topico |
Differential geometry
Global analysis (Mathematics) Manifolds (Mathematics) Complex manifolds Differential Geometry Global Analysis and Analysis on Manifolds Manifolds and Cell Complexes (incl. Diff.Topology) |
| ISBN | 1-4614-7732-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Basic Objects and Notation -- Linear Algebra Essentials -- Advanced Calculus -- Differential Forms and Tensors -- Riemannian Geometry -- Contact Geometry -- Symplectic Geometry -- References -- Index. |
| Record Nr. | UNINA-9910733732903321 |
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McInerney Andrew
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fixed Point Theory in Distance Spaces [[electronic resource] /] / by William Kirk, Naseer Shahzad
| Fixed Point Theory in Distance Spaces [[electronic resource] /] / by William Kirk, Naseer Shahzad |
| Autore | Kirk William |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (176 p.) |
| Disciplina |
510
514/.24 |
| Soggetto topico |
Differential geometry
Topology Mathematical models Differential Geometry Mathematical Modeling and Industrial Mathematics |
| ISBN | 3-319-10927-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Part 1. Metric Spaces -- Introduction -- Caristi’s Theorem and Extensions.- Nonexpansive Mappings and Zermelo’s Theorem -- Hyperconvex metric spaces -- Ultrametric spaces -- Part 2. Length Spaces and Geodesic Spaces -- Busemann spaces and hyperbolic spaces -- Length spaces and local contractions -- The G-spaces of Busemann -- CAT(0) Spaces -- Ptolemaic Spaces -- R-trees (metric trees) -- Part 3. Beyond Metric Spaces -- b-Metric Spaces -- Generalized Metric Spaces -- Partial Metric Spaces -- Diversities -- Bibliography -- Index. |
| Record Nr. | UNINA-9910299971603321 |
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Kirk William
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Foundations of Geometric Continuum Mechanics [[electronic resource] ] : Geometry and Duality in Continuum Mechanics / / by Reuven Segev
| Foundations of Geometric Continuum Mechanics [[electronic resource] ] : Geometry and Duality in Continuum Mechanics / / by Reuven Segev |
| Autore | Segev Reuven |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 |
| Descrizione fisica | 1 online resource (410 pages) |
| Disciplina | 531.7 |
| Collana | Advances in Continuum Mechanics |
| Soggetto topico |
Geometry, Differential
Continuum mechanics Differential Geometry Continuum Mechanics |
| ISBN | 3-031-35655-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Prelude: Finite Dimensional Systems -- Part I Algebraic Theory: Uniform Fluxes -- 3. Simplices in Affine Spaces and Their Boundaries -- 4. Uniform Fluxes in Affine Spaces -- 5. From Uniform Fluxes to Exterior Algebra -- Part II: Smooth Theory -- 6. Smooth Analysis on Manifolds: A Short Review -- 7. Interlude: Smooth Distributions of Defects -- 8. Smooth Fluxes -- 9. Frames, Body Points, and Spacetime Structure -- 10. Stresses -- 11. Smooth Electromagnetism on Manifolds -- 12. The Elasticity Problem -- 13. Symmetry and Dynamics -- Part III Non-Smooth, Global Theories -- 14. Banachable Space of Sections of Vector Bundles over Compact Manifolds -- 15. Manifolds of Sections and Embeddings -- 16. The General Framework for Global Analytic Stress Theory -- 17. Dual Spaces Corresponding to Spaces of Differentiable Sections of a Vector Bundle: Localization of Sections and Functionals -- 18. de Rham Currents -- 19. Interlude: Singular Distributions of Defects in Bodies -- 20. Vector-Valued Currents -- 21. The Representation of Forces by Stresses and Hyperstresses -- 22. Simple Forces and Stresses -- 23. Whitney's Geometric Integration Theory and Non-Smooth Bodies -- 24. Optimal Fields and Load Capacity of Bodies -- Index. |
| Record Nr. | UNINA-9910755074103321 |
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Segev Reuven
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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