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RANDERS METRICS OF SCALAR FLAG CURVATURE

Published online by Cambridge University Press:  15 December 2009

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: [email protected]
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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.

Type
Research Article
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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