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A Note on Randers Metrics of Scalar Flag Curvature

  Published:2011-05-17
 Printed: Sep 2012
  • Bin Chen,
    Department of Mathematics, Tongji University, Shanghai, P. R. China, 200092
  • Lili Zhao,
    Department of Mathematics, Shanghai Jiaotong University, Shanghai, P. R. China, 200240
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Abstract

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: Randers metrics, scalar flag curvature Randers metrics, scalar flag curvature
MSC Classifications: 53B40, 53C60 show english descriptions Finsler spaces and generalizations (areal metrics)
Finsler spaces and generalizations (areal metrics) [See also 58B20]
53B40 - Finsler spaces and generalizations (areal metrics)
53C60 - Finsler spaces and generalizations (areal metrics) [See also 58B20]
 

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