An introduction to Finsler geometry /:
This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle. It systematically introduces three classes of geometrical invariants on Finsler manifolds and their intrinsic relations, analyzes local and glob...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; Hackensack, NJ :
World Scientific,
©2006.
|
| Schriftenreihe: | Peking University series in mathematics ;
v. 1. |
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle. It systematically introduces three classes of geometrical invariants on Finsler manifolds and their intrinsic relations, analyzes local and global results from classic and modern Finsler geometry, and gives non-trivial examples of Finsler manifolds satisfying different curvature conditions. |
| Beschreibung: | 1 online resource (viii, 120 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 117-118) and index. |
| ISBN: | 9789812773715 9812773711 |
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| contents | Finsler manifolds -- Geometric quantities on a Minkowski space -- Chern connection -- Covariant differentiation and second class of geometric invariants -- Riemann invariants and variations of arc length -- Geometry of projective sphere bundle -- Relation among three classes of invariants -- Finsler manifolds with scalar curvature -- Harmonic maps from Finsler manifolds. |
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| discipline | Mathematik |
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| genre | Electronic books. |
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| id | ZDB-4-EBA-ocn824698994 |
| illustrated | Illustrated |
| indexdate | 2025-04-11T08:41:13Z |
| institution | BVB |
| isbn | 9789812773715 9812773711 |
| language | English |
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| series | Peking University series in mathematics ; |
| series2 | Peking University series in mathematics ; |
| spelling | Mo, Xiaohuan. An introduction to Finsler geometry / Xiaohuan Mo. Singapore ; Hackensack, NJ : World Scientific, ©2006. 1 online resource (viii, 120 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Peking University series in mathematics ; v. 1 Includes bibliographical references (pages 117-118) and index. Finsler manifolds -- Geometric quantities on a Minkowski space -- Chern connection -- Covariant differentiation and second class of geometric invariants -- Riemann invariants and variations of arc length -- Geometry of projective sphere bundle -- Relation among three classes of invariants -- Finsler manifolds with scalar curvature -- Harmonic maps from Finsler manifolds. Print version record. This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle. It systematically introduces three classes of geometrical invariants on Finsler manifolds and their intrinsic relations, analyzes local and global results from classic and modern Finsler geometry, and gives non-trivial examples of Finsler manifolds satisfying different curvature conditions. Finsler spaces. http://id.loc.gov/authorities/subjects/sh85048439 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Geometry, Riemannian. http://id.loc.gov/authorities/subjects/sh85054159 Espaces de Finsler. Variétés (Mathématiques) Géométrie de Riemann. MATHEMATICS Geometry Analytic. bisacsh Finsler spaces fast Geometry, Riemannian fast Manifolds (Mathematics) fast Electronic books. Print version: Mo, Xiaohuan. Introduction to Finsler geometry. Singapore ; Hackensack, NJ : World Scientific, ©2006 9812567933 (DLC) 2006284743 (OCoLC)70787903 Peking University series in mathematics ; v. 1. http://id.loc.gov/authorities/names/no2006092820 |
| spellingShingle | Mo, Xiaohuan An introduction to Finsler geometry / Peking University series in mathematics ; Finsler manifolds -- Geometric quantities on a Minkowski space -- Chern connection -- Covariant differentiation and second class of geometric invariants -- Riemann invariants and variations of arc length -- Geometry of projective sphere bundle -- Relation among three classes of invariants -- Finsler manifolds with scalar curvature -- Harmonic maps from Finsler manifolds. Finsler spaces. http://id.loc.gov/authorities/subjects/sh85048439 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Geometry, Riemannian. http://id.loc.gov/authorities/subjects/sh85054159 Espaces de Finsler. Variétés (Mathématiques) Géométrie de Riemann. MATHEMATICS Geometry Analytic. bisacsh Finsler spaces fast Geometry, Riemannian fast Manifolds (Mathematics) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85048439 http://id.loc.gov/authorities/subjects/sh85080549 http://id.loc.gov/authorities/subjects/sh85054159 |
| title | An introduction to Finsler geometry / |
| title_auth | An introduction to Finsler geometry / |
| title_exact_search | An introduction to Finsler geometry / |
| title_full | An introduction to Finsler geometry / Xiaohuan Mo. |
| title_fullStr | An introduction to Finsler geometry / Xiaohuan Mo. |
| title_full_unstemmed | An introduction to Finsler geometry / Xiaohuan Mo. |
| title_short | An introduction to Finsler geometry / |
| title_sort | introduction to finsler geometry |
| topic | Finsler spaces. http://id.loc.gov/authorities/subjects/sh85048439 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Geometry, Riemannian. http://id.loc.gov/authorities/subjects/sh85054159 Espaces de Finsler. Variétés (Mathématiques) Géométrie de Riemann. MATHEMATICS Geometry Analytic. bisacsh Finsler spaces fast Geometry, Riemannian fast Manifolds (Mathematics) fast |
| topic_facet | Finsler spaces. Manifolds (Mathematics) Geometry, Riemannian. Espaces de Finsler. Variétés (Mathématiques) Géométrie de Riemann. MATHEMATICS Geometry Analytic. Finsler spaces Geometry, Riemannian Electronic books. |
| work_keys_str_mv | AT moxiaohuan anintroductiontofinslergeometry AT moxiaohuan introductiontofinslergeometry |