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An Introduction to Riemann-Finsler Geometry

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Cover of 'An Introduction to Riemann-Finsler Geometry'

Table of Contents

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