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Lectures on Finsler geometry

Author: Zhongmin Shen
Publisher: Singapore ; River Edge, NJ : World Scientific, 2001.
Edition/Format:   Print book : Document   Computer File : EnglishView all editions and formats
Summary:

Viewing Finsler spaces as regular metric spaces, this work discusses the problems from the modern metric geometry point of view. It addresses the basics on Finsler spaces, then deals with basic  Read more...

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Material Type: Document, Internet resource
Document Type: Book, Computer File, Internet Resource
All Authors / Contributors: Zhongmin Shen
ISBN: 9810245300 9789810245306 9810245319 9789810245313
OCLC Number: 47797302
Description: xiv, 307 pages : illustrations ; 23 cm
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.
Responsibility: Zhongmin Shen.

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