Finsler Geometry

An Approach via Randers Spaces

  • Xinyue Cheng
  • Zhongmin Shen

Table of contents

  1. Front Matter
    Pages i-viii
  2. Xinyue Cheng, Zhongmin Shen
    Pages 1-12
  3. Xinyue Cheng, Zhongmin Shen
    Pages 13-25
  4. Xinyue Cheng, Zhongmin Shen
    Pages 27-49
  5. Xinyue Cheng, Zhongmin Shen
    Pages 51-59
  6. Xinyue Cheng, Zhongmin Shen
    Pages 61-75
  7. Xinyue Cheng, Zhongmin Shen
    Pages 77-89
  8. Xinyue Cheng, Zhongmin Shen
    Pages 91-109
  9. Xinyue Cheng, Zhongmin Shen
    Pages 111-125
  10. Xinyue Cheng, Zhongmin Shen
    Pages 127-135
  11. Xinyue Cheng, Zhongmin Shen
    Pages 137-147
  12. Back Matter
    Pages 149-150

About this book

Introduction

"Finsler Geometry: An Approach via Randers Spaces" exclusively deals with a special class of Finsler metrics -- Randers metrics, which are defined as the sum of a Riemannian metric and a 1-form. Randers metrics derive from the research on General Relativity Theory and have been applied in many areas of the natural sciences. They can also be naturally deduced as the solution of the Zermelo navigation problem. The book provides readers not only with essential findings on Randers metrics but also the core ideas and methods which are useful in Finsler geometry. It will be of significant interest to researchers and practitioners working in Finsler geometry, even in differential geometry or related natural fields.

Xinyue Cheng is a Professor at the School of Mathematics and Statistics of Chongqing University of Technology, China. Zhongmin Shen is a Professor at the Department of Mathematical Sciences of Indiana University Purdue University, USA.

Keywords

Finsler metrics Flag curvature Geodesics Randers metrics Ricci curvature

Authors and affiliations

  • Xinyue Cheng
    • 1
  • Zhongmin Shen
    • 2
  1. 1.School of Mathematics and StatisticsChongqing University of TechnologyLijiatuo, ChongqingChina
  2. 2.Department of Mathematical SciencesIndiana University-Purdue University Indianapolis (IUPUI)IndianapolisUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-24888-7
  • Copyright Information Science Press Ltd, Beijing and Springer Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-24887-0
  • Online ISBN 978-3-642-24888-7
  • About this book