A Note on Randers Metrics of Scalar Flag Curvature

作者:Chen, Bin*; Zhao, Lili
来源:Canadian Mathematical Bulletin, 2012, 55(3): 474-486.
DOI:10.4153/CMB-2011-092-1

摘要

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.