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题名/责任者:

An introduction to Riemann-Finsler geometry / D. Bao, S.-S. Chern, Z. Shen.

出版发行项:

New York : Springer, 2000.

ISBN:

9780387989488 :

载体形态项:

xx, 431 pages: illustrations ; 25 cm

丛编说明:

Graduate texts in mathematics ; 200

丛编统一题名:

Graduate texts in mathematics ; 200.

个人责任者:

Bao, David Dai-Wai, author.

附加个人名称:

Chern, Shiing-Shen, 1911-2004, author.

附加个人名称:

Shen, Zhongmin, 1963- author.

论题主题:

Geometry, Riemannian.

论题主题:

Finsler spaces.

中图法分类号:

O186.12

书目附注:

Includes bibliographical references (p. [419]-425) and index.

内容附注:

Pt. 1. Finsler Manifolds and Their Curvature -- Ch. 1. Finsler Manifolds and the Fundamentals of Minkowski Norms -- Ch. 2. The Chern Connection -- Ch. 3. Curvature and Schur's Lemma -- Ch. 4. Finsler Surfaces and a Generalized Gauss-Bonnet Theorem -- Pt. 2. Calculus of Variations and Comparison Theorems -- Ch. 5. Variations of Arc Length, Jacobi Fields, the Effect of Curvature -- Ch. 6. The Gauss Lemma and the Hopf-Rinow Theorem -- Ch. 7. The Index Form and the Bonnet-Myers Theorem -- Ch. 8. The Cut and Conjugate Loci, and Synge's Theorem -- Ch. 9. The Cartan-Hadamard Theorem and Rauch's First Theorem -- Pt. 3. Special Finsler Spaces over the Reals -- Ch. 10. Berwald Spaces and Szabo's Theorem for Berwald Surfaces -- Ch. 11. Randers Spaces and an Elegant Theorem -- Ch. 12. Constant Flag Curvature Spaces and Akbar-Zadeh's Theorem -- Ch. 13. Riemannian Manifolds and Two of Hopf's Theorems -- Ch. 14. Minkowski Spaces, the Theorems of Deicke and Brickell.

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