Randers Spaces

Xinyue Cheng () and Zhongmin Shen ()
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Xinyue Cheng: Chongqing University of Technology, School of Mathematics and Statistics
Zhongmin Shen: Indiana University-Purdue University Indianapolis (IUPUI), Department of Mathematical Sciences

Chapter Chapter 1 in Finsler Geometry, 2012, pp 1-12 from Springer

Abstract: Abstract Randers spaces are finite dimensional vector spaces equipped with a Randers norm. Euclidean norm is the most special Randers norm. Roughly speaking, a Randers norm is a shifted Euclidean norm. If the unit sphere of a Euclidean norm is called a round sphere, then the unit sphere of a Randers norm is an ellipsoid. Randers norms are special Minkowski norms whose unit sphere is a strong convex hypersurface. More precise definition is given as follows.

Date: 2012
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DOI: 10.1007/978-3-642-24888-7_1

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