Riemannian geometry /:
Riemannian Geometry (Degruyter Studies in Mathematics).
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; New York :
W. de Gruyter,
1995.
|
| Ausgabe: | 2nd rev. ed. |
| Schriftenreihe: | De Gruyter studies in mathematics ;
1. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Riemannian Geometry (Degruyter Studies in Mathematics). |
| Beschreibung: | 1 online resource (x, 409 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 393-402) and index. |
| ISBN: | 9783110905120 3110905124 |
Internformat
MARC
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| 100 | 1 | |a Klingenberg, Wilhelm, |d 1924-2010. |1 https://id.oclc.org/worldcat/entity/E39PBJrKVp74DCJ7MgGmtXfyVC |0 http://id.loc.gov/authorities/names/n82072830 | |
| 245 | 1 | 0 | |a Riemannian geometry / |c Wilhelm P.A. Klingenberg. |
| 250 | |a 2nd rev. ed. | ||
| 260 | |a Berlin ; |a New York : |b W. de Gruyter, |c 1995. | ||
| 300 | |a 1 online resource (x, 409 pages) : |b illustrations | ||
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| 490 | 1 | |a De Gruyter studies in mathematics ; |v 1 | |
| 504 | |a Includes bibliographical references (pages 393-402) and index. | ||
| 505 | 0 | |a 2.4 The Loop Space and the Space of Closed Curves2.5 The Second Order Neighborhood of a Critical Point; 2.5 Appendix -- The S1- and the Z2-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. | |
| 505 | 0 | |a 3.7 The Theorem of the Three Closed Geodesics3.8 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. | |
| 505 | 0 | |a 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. | |
| 520 | |a Riemannian Geometry (Degruyter Studies in Mathematics). | ||
| 650 | 0 | |a Geometry, Riemannian. |0 http://id.loc.gov/authorities/subjects/sh85054159 | |
| 650 | 0 | |a Geometry, Differential. |0 http://id.loc.gov/authorities/subjects/sh85054146 | |
| 650 | 6 | |a Géométrie de Riemann. | |
| 650 | 6 | |a Géométrie différentielle. | |
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| 650 | 7 | |a Geometry, Riemannian |2 fast | |
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| 776 | 0 | 8 | |i Print version: |a Klingenberg, Wilhelm, 1924-2010. |t Riemannian geometry. |b 2nd rev. ed. |d Berlin ; New York : W. de Gruyter, 1995 |w (DLC) 95002589 |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn811407188 |
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| _version_ | 1813903587783213056 |
| adam_text | |
| any_adam_object | |
| author | Klingenberg, Wilhelm, 1924-2010 |
| author_GND | http://id.loc.gov/authorities/names/n82072830 |
| author_facet | Klingenberg, Wilhelm, 1924-2010 |
| author_role | |
| author_sort | Klingenberg, Wilhelm, 1924-2010 |
| author_variant | w k wk |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA649 |
| callnumber-raw | QA649 .K544 1995eb |
| callnumber-search | QA649 .K544 1995eb |
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| contents | 2.4 The Loop Space and the Space of Closed Curves2.5 The Second Order Neighborhood of a Critical Point; 2.5 Appendix -- The S1- and the Z2-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 Geodesics3.8 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. 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. |
| ctrlnum | (OCoLC)811407188 |
| dewey-full | 516.3/73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/73 |
| dewey-search | 516.3/73 |
| dewey-sort | 3516.3 273 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2nd rev. ed. |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn811407188 |
| illustrated | Illustrated |
| indexdate | 2024-10-25T16:21:03Z |
| institution | BVB |
| isbn | 9783110905120 3110905124 |
| language | English |
| oclc_num | 811407188 |
| open_access_boolean | |
| owner | MAIN |
| owner_facet | MAIN |
| physical | 1 online resource (x, 409 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | W. de Gruyter, |
| record_format | marc |
| series | De Gruyter studies in mathematics ; |
| series2 | De Gruyter studies in mathematics ; |
| spelling | Klingenberg, Wilhelm, 1924-2010. https://id.oclc.org/worldcat/entity/E39PBJrKVp74DCJ7MgGmtXfyVC http://id.loc.gov/authorities/names/n82072830 Riemannian geometry / Wilhelm P.A. Klingenberg. 2nd rev. ed. Berlin ; New York : W. de Gruyter, 1995. 1 online resource (x, 409 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda De Gruyter studies in mathematics ; 1 Includes bibliographical references (pages 393-402) and index. 2.4 The Loop Space and the Space of Closed Curves2.5 The Second Order Neighborhood of a Critical Point; 2.5 Appendix -- The S1- and the Z2-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 Geodesics3.8 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. 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. Riemannian Geometry (Degruyter Studies in Mathematics). Geometry, Riemannian. http://id.loc.gov/authorities/subjects/sh85054159 Geometry, Differential. http://id.loc.gov/authorities/subjects/sh85054146 Géométrie de Riemann. Géométrie différentielle. MATHEMATICS Geometry Analytic. bisacsh Geometry, Differential fast Geometry, Riemannian fast has work: Riemannian geometry (Text) https://id.oclc.org/worldcat/entity/E39PCFYKpyCmhBrP6CVKgRb3HC https://id.oclc.org/worldcat/ontology/hasWork Print version: Klingenberg, Wilhelm, 1924-2010. Riemannian geometry. 2nd rev. ed. Berlin ; New York : W. de Gruyter, 1995 (DLC) 95002589 De Gruyter studies in mathematics ; 1. http://id.loc.gov/authorities/names/n83742913 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=557833 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=557833 Volltext |
| spellingShingle | Klingenberg, Wilhelm, 1924-2010 Riemannian geometry / De Gruyter studies in mathematics ; 2.4 The Loop Space and the Space of Closed Curves2.5 The Second Order Neighborhood of a Critical Point; 2.5 Appendix -- The S1- and the Z2-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 Geodesics3.8 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. 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. Geometry, Riemannian. http://id.loc.gov/authorities/subjects/sh85054159 Geometry, Differential. http://id.loc.gov/authorities/subjects/sh85054146 Géométrie de Riemann. Géométrie différentielle. MATHEMATICS Geometry Analytic. bisacsh Geometry, Differential fast Geometry, Riemannian fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85054159 http://id.loc.gov/authorities/subjects/sh85054146 |
| title | Riemannian geometry / |
| title_auth | Riemannian geometry / |
| title_exact_search | Riemannian geometry / |
| title_full | Riemannian geometry / Wilhelm P.A. Klingenberg. |
| title_fullStr | Riemannian geometry / Wilhelm P.A. Klingenberg. |
| title_full_unstemmed | Riemannian geometry / Wilhelm P.A. Klingenberg. |
| title_short | Riemannian geometry / |
| title_sort | riemannian geometry |
| topic | Geometry, Riemannian. http://id.loc.gov/authorities/subjects/sh85054159 Geometry, Differential. http://id.loc.gov/authorities/subjects/sh85054146 Géométrie de Riemann. Géométrie différentielle. MATHEMATICS Geometry Analytic. bisacsh Geometry, Differential fast Geometry, Riemannian fast |
| topic_facet | Geometry, Riemannian. Geometry, Differential. Géométrie de Riemann. Géométrie différentielle. MATHEMATICS Geometry Analytic. Geometry, Differential Geometry, Riemannian |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=557833 |
| work_keys_str_mv | AT klingenbergwilhelm riemanniangeometry |