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Projectively Flat Randers Metrics

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 8 in Finsler Geometry, 2012, pp 111-125 from Springer

Abstract: Abstract According to the Beltrami theorem in Riemann geometry, a Riemann metric is locally projectively flat if and only if it is of constant sectional curvature.

Keywords: Open Subset; Finsler Space; Unit Speed; Constant Sectional Curvature; Finsler Geometry (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-24888-7_8

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DOI: 10.1007/978-3-642-24888-7_8

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