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The Geometry of Spherically Symmetric Finsler Manifolds

  • Enli Guo
  • Xiaohuan Mo
Book
  • 1.6k Downloads

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Enli Guo, Xiaohuan Mo
    Pages 1-8
  3. Enli Guo, Xiaohuan Mo
    Pages 9-41
  4. Enli Guo, Xiaohuan Mo
    Pages 55-65
  5. Enli Guo, Xiaohuan Mo
    Pages 67-79
  6. Enli Guo, Xiaohuan Mo
    Pages 81-91
  7. Enli Guo, Xiaohuan Mo
    Pages 129-146
  8. Back Matter
    Pages 147-154

About this book

Introduction

This book presents properties, examples, rigidity theorems and classification results of such Finsler metrics. In particular, this book introduces how to investigate spherically symmetric Finsler geometry using ODE or PDE methods. Spherically symmetric Finsler geometry is a subject that concerns domains in R^n with spherically symmetric metrics.

Recently, a significant progress has been made in studying Riemannian-Finsler geometry. However, constructing nice examples of Finsler metrics turn out to be very difficult. In spherically symmetric Finsler geometry, we find many nice examples with special curvature properties using PDE technique. The studying of spherically symmetric geometry shows closed relation among geometry, group and equation.

Keywords

Spherically Symmetric Finsler Metrics Berwald flat Scalar Curvature Constant Curvature W-quadratic

Authors and affiliations

  • Enli Guo
    • 1
  • Xiaohuan Mo
    • 2
  1. 1.College of Applied SciencesBeijing University of TechnologyBeijingChina
  2. 2.School of Mathematical SciencesPeking UniversityBeijingChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-13-1598-5
  • Copyright Information The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd., part of Springer Nature 2018
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-13-1597-8
  • Online ISBN 978-981-13-1598-5
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • Buy this book on publisher's site