An Introduction to Riemann-Finsler Geometry

Table of Contents

1. Altmetric Badge
   Book Overview
2. Altmetric Badge
   Chapter 1 Finsler Manifolds and the Fundamentals of Minkowski Norms
3. Altmetric Badge
   Chapter 2 The Chern Connection
4. Altmetric Badge
   Chapter 3 Curvature and Schur’s Lemma
5. Altmetric Badge
   Chapter 4 Finsler Surfaces and a Generalized Gauss-Bonnet Theorem
6. Altmetric Badge
   Chapter 5 Variations of Arc Length, Jacobi Fields, the Effect of Curvature
7. Altmetric Badge
   Chapter 6 The Gauss Lemma and the Hopf-Rinow Theorem
8. Altmetric Badge
   Chapter 7 The Index Form and the Bonnet—Myers Theorem
9. Altmetric Badge
   Chapter 8 The Cut and Conjugate Loci, and Synge’s Theorem
10. Altmetric Badge
    Chapter 9 The Cartan—Hadamard Theorem and Rauch’s First Theorem
11. Altmetric Badge
    Chapter 10 Berwald Spaces and Szabó’s Theorem for Berwald Surfaces
12. Altmetric Badge
    Chapter 11 Randers Spaces and an Elegant Theorem
13. Altmetric Badge
    Chapter 12 Constant Flag Curvature Spaces and Akbar-Zadeh’s Theorem
14. Altmetric Badge
    Chapter 13 Riemannian Manifolds and Two of Hopf’s Theorems
15. Altmetric Badge
    Chapter 14 Minkowski Spaces, the Theorems of Deicke and Brickell