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Lectures on Finsler geometry
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ISBN: 9786611960650 1281960659 9812811621 9789812811622 9781281960658 9789810245313 9810245319 9789810245306 9810245300 9810245319 Year: 2001 Publisher: Singapore River Edge, NJ World Scientific

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Abstract

Viewing Finsler spaces as regular metric spaces, this work discusses the problems from the modern metric geometry point of view. It addresses the basics on Finsler spaces, then deals with basic comparison theorems on metrics and measures and their applications to the Levy concentration theory.


Book
Finsler geometry : an approach via Randers spaces
Authors: ---
ISBN: 364224887X 3642248888 1299336116 Year: 2012 Publisher: Heidelberg ; New York : Beijing : Springer ; Science Press,

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"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.

Riemann-Finsler geometry
Authors: ---
ISBN: 9812383573 9812383581 Year: 2005 Volume: v. 6 Publisher: River Edge, N.J. : World Scientific,

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Book
Finsler Geometry : An Approach via Randers Spaces
Authors: --- ---
ISBN: 9783642248887 Year: 2012 Publisher: Berlin Heidelberg Springer Berlin Heidelberg Imprint Springer

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Abstract

"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.

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