Finsler Geometry

An Approach via Randers Spaces

Authors: Cheng, Xinyue, Shen, Zhongmin

  • Deals with a special class of Finsler metrics -- Randers metrics
  • Presents core ideas and methods which are useful in Finsler geometry
  • Provides many interesting and important examples and results obtained by the authors and other mathematicians during the past decade
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  • ISBN 978-3-642-24888-7
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About this book

"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.

Reviews

From the book reviews:

“The book under review is concerned with the simplest non-Riemannian Finsler metrics: the Randers metrics. It contains the most important results about this kind of Finsler metrics obtained in recent years. … this text is a treasure for every researcher interested in Finsler geometry.” (Rafael Santamaría, Mathematical Reviews, April, 2014)

Table of contents (10 chapters)

  • Randers Spaces

    Cheng, Xinyue (et al.)

    Pages 1-12

  • Randers Metrics and Geodesics

    Cheng, Xinyue (et al.)

    Pages 13-25

  • Randers Metrics of Isotropic S-Curvature

    Cheng, Xinyue (et al.)

    Pages 27-49

  • Riemann Curvature and Ricci Curvature

    Cheng, Xinyue (et al.)

    Pages 51-59

  • Projective Geometry of Randers Spaces

    Cheng, Xinyue (et al.)

    Pages 61-75

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-642-24888-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Finsler Geometry
Book Subtitle
An Approach via Randers Spaces
Authors
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Science Press Ltd, Beijing and Springer Berlin Heidelberg
eBook ISBN
978-3-642-24888-7
DOI
10.1007/978-3-642-24888-7
Edition Number
1
Number of Pages
VIII, 150
Additional Information
Jointly published with Science Press Ltd
Topics