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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
 Format: LaTeX MathJax PDF

## 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
 MSC Classifications: 53B40 - Finsler spaces and generalizations (areal metrics) 53C60 - Finsler spaces and generalizations (areal metrics) [See also 58B20]