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RANDERS METRICS OF SCALAR FLAG CURVATURE

Part of: Local differential geometry

Published online by Cambridge University Press:  15 December 2009

XINYUE CHENG  and
ZHONGMIN SHEN
XINYUE CHENG
Affiliation:
School of Mathematics, Chongqing University of Technology, Chongqing 400050, PR China
ZHONGMIN SHEN*
Affiliation:
Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027, PR China
*
✉For correspondence; e-mail: zshen@math.iupui.edu
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Abstract

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We study an important class of Finsler metrics, namely, Randers metrics. We classify Randers metrics of scalar flag curvature whose S-curvatures are isotropic. This class of Randers metrics contains all projectively flat Randers metrics with isotropic S-curvature and Randers metrics of constant flag curvature.

Keywords

Finsler metricRanders metricflag curvatureS-curvaturenavigation data

MSC classification

Secondary: 53B40: Finsler spaces and generalizations (areal metrics)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 87 , Issue 3 , December 2009 , pp. 359 - 370
Copyright
Copyright © Australian Mathematical Publishing Association, Inc. 2009

Footnotes

The first author was supported by a Chinese NNSF grant (10671214) and by the Science Foundation of Chongqing Education Committee. The second author was supported in part by a Chinese NNSF grant (10671214) and an NSF grant (DMS-0810159).

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