Screen LibraryAn introduction to Finsler geometry /
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| Main Authors: | |
|---|---|
| Corporate Authors: | |
| Published: |
World Scientific,
|
| Publisher Address: | Singapore ; Hackensack, N.J. : |
| Publication Dates: | 2006. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Peking University series in mathematics ;
v. 1 |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/6095#t=toc |
| Carrier Form: | 1 online resource (viii,120pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 117-118) and index. |
| ISBN: |
9812773711 (electronic bk.) 9789812773715 (electronic bk.) |
| CLC: | O186.14 |
| Contents: | 1. Finsler manifolds. 1.1. Historical remarks. 1.2. Finsler manifolds. 1.3. Basic examples. 1.4. Fundamental invariants. 1.5. Reversible Finsler structures -- 2. Geometric quantities on a Minkowski space. 2.1. The Cartan tensor. 2.2. The Cartan form and Deicke's theorem. 2.3. Distortion. 2.4. Finsler submanifolds. 2.5. Imbedding problem of submanifolds -- 3. Chern connection. 3.1. The adapted frame on a Finsler bundle. 3.2. Construction of Chern connection. 3.3. Properties of Chern connection. 3.4. Horizontal and vertical subbundles of SM -- 4. Covariant differentiation and second class of g |