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A Note on Randers Metrics of Scalar Flag Curvature

Published online by Cambridge University Press:  20 November 2018

Bin Chen  and
Lili Zhao
Bin Chen
Affiliation:
Department of Mathematics, Tongji University, Shanghai, P. R. China, 200092e-mail: chenbin@tongji.edu.cn
Lili Zhao
Affiliation:
Department of Mathematics, Shanghai Jiaotong University, Shanghai, P. R. China, 200240e-mail: zhaolili@sjtu.edu.cn
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Abstract

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Some families of Randers metrics of scalar flag curvature are studied in this paper. Explicit examples that are neither locally projectively flat nor of isotropic $S$-curvature are given. Certain Randers metrics with Einstein $\alpha $ are considered and proved to be complex. Three dimensional Randers manifolds, with $\alpha $ having constant scalar curvature, are studied.

Keywords

53B4053C60Randers metricsscalar flag curvature
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 3 , 01 September 2012 , pp. 474 - 486
Copyright
Copyright © Canadian Mathematical Society 2012

References

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