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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 10: Berwald Spaces and Szabó’s Theorem for Berwald Surfaces
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Chapter title
Berwald Spaces and Szabó’s Theorem for Berwald Surfaces
Chapter number 10
Book title
An Introduction to Riemann-Finsler Geometry
Published by
Springer, New York, NY, January 2000
DOI 10.1007/978-1-4612-1268-3_10
Book ISBNs
978-1-4612-7070-6, 978-1-4612-1268-3
Authors

D. Bao, S.-S. Chern, Z. Shen, Bao, D., Chern, S.-S., Shen, Z.

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Mendeley readers

The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Student > Postgraduate 1 100%
Readers by discipline Count As %
Agricultural and Biological Sciences 1 100%

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