Lectures on Finsler geometry /
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| Author / Creator: | Shen, Zhongmin, 1963- |
|---|---|
| Imprint: | Singapore ; River Edge, NJ : World Scientific, 2001. |
| Description: | xiv, 307 p. : ill. ; 23 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4486707 |
Table of Contents:
- Ch. 1. Finsler Spaces
- Ch. 2. Finsler m Spaces
- Ch. 3. Co-Area Formula
- Ch. 4. Isoperimetric Inequalities
- Ch. 5. Geodesics and Connection
- Ch. 6. Riemann Curvature
- Ch. 7. Non-Riemannian Curvatures
- Ch. 8. Structure Equations
- Ch. 9. Finsler Spaces of Constant Curvature
- Ch. 10. Second Variation Formula
- Ch. 11. Geodesics and Exponential Map
- Ch. 12. Conjugate Radius and Injectivity Radius
- Ch. 13. Basic Comparison Theorems
- Ch. 14. Geometry of Hypersurfaces
- Ch. 15. Geometry of Metric Spheres
- Ch. 16. Volume Comparison Theorems
- Ch. 17. Morse Theory of Loop Spaces
- Ch. 18. Vanishing Theorems for Homotopy Groups
- Ch. 19. Spaces of Finsler Spaces.
