Authors:
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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Table of contents (10 chapters)
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Front Matter
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Back Matter
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)Authors and Affiliations
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School of Mathematics and Statistics, Chongqing University of Technology, Lijiatuo, Chongqing, China
Xinyue Cheng
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Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis (IUPUI), Indianapolis, USA
Zhongmin Shen
Bibliographic Information
Book Title: Finsler Geometry
Book Subtitle: An Approach via Randers Spaces
Authors: Xinyue Cheng, Zhongmin Shen
DOI: https://doi.org/10.1007/978-3-642-24888-7
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Science Press Ltd, Beijing and Springer Berlin Heidelberg 2012
eBook ISBN: 978-3-642-24888-7Published: 29 January 2013
Edition Number: 1
Number of Pages: VIII, 150
Additional Information: Jointly published with Science Press Ltd
Topics: Differential Geometry, Geometry, Mathematical Methods in Physics