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[null,"1.","Record Nr.",null,"UNINA9910462028403321"]
[null,null,"Autore",null,"Klingenberg Wilhelm <1924-2010.>"]
[null,null,"Titolo",null,"Riemannian geometry [[electronic resource] /] / Wilhelm P.A. Klingenberg"]
[null,null,"Pubbl/distr/stampa",null,"Berlin ; ; New York, : W. de Gruyter, 1995"]
[null,null,"ISBN",null,"3-11-090512-4"]
[null,null,"Edizione",null,"[2nd rev. ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (420 p.)"]
[null,null,"Collana",null,"De Gruyter Studies in Mathematics ; ; 1"]
[null,null,"Disciplina",null,"516.3/73"]
[null,null,"Soggetti",null,"Geometry, Riemannian"]
[{"$nulls":4},"Geometry, Differential"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. [393]-402) and index."]
[null,null,"Nota di contenuto",null,"Front matter -- Chapter 1: Foundations. -- 1.0 Review of Differential Calculus and Topology -- 1.1 Differentiable Manifolds -- 1.2 Tensor Bundles -- 1.3 Immersions and Submersions -- 1.4 Vector Fields and Tensor Fields -- 1.5 Covariant Derivation -- 1.6 The Exponential Mapping -- 1.7 Lie Groups -- 1.8 Riemannian Manifolds -- 1.9 Geodesics and Convex Neighborhoods -- 1.10 Isometric Immersions -- 1.11 Riemannian Curvature -- 1.12 Jacobi Fields -- Chapter 2: Curvature and Topology. -- 2.1 Completeness and Cut Locus -- 2.1 Appendix - Orientation -- 2.2 Symmetric Spaces -- 2.3 The Hilbert Manifold of H1-curves -- 2.4 The Loop Space and the Space of Closed Curves -- 2.5 The Second Order Neighborhood of a Critical Point -- 2.5 Appendix - The S1- and the Ζ2-action on AM -- 2.6 Index and Curvature -- 2.6 Appendix - The Injectivity Radius for 1/4-pinched Manifolds -- 2.7 Comparison Theorems for Triangles -- 2.8 The Sphere Theorem -- 2.9 Non-compact Manifolds of Positive Curvature -- Chapter 3: Structure of the Geodesic Flow. -- 3.1 Hamiltonian Systems -- 3.2 Properties of the Geodesic Flow -- 3.3 Stable and Unstable Motions -- 3.4 Geodesics on Surfaces -- 3.5 Geodesics on the Ellipsoid -- 3.6 Closed Geodesies on Spheres -- 3.7 The Theorem of the Three Closed Geodesics -- 3.8 Manifolds of Non-Positive Curvature -- 3.9 The Geodesic Flow on Manifolds of Negative Curvature -- 3.10 The Main Theorem for Surfaces of Genus 0 -- References -- Index"]
[null,null,null,"Sommario/riassunto","Riemannian Geometry (Degruyter Studies in Mathematics)"]