The Randers metrics of weakly isotropic scalar curvature
Differential Geometry
2020-06-19 v1
Abstract
In this paper, we study the Randers metrics of weakly isotropic scalar curvature. We prove that a Randers metric of weakly isotropic scalar curvature must be of isotropic -curvature. Further, we prove that a conformally flat Randers metric of weakly isotropic scalar curvature is either Minkowskian or Riemannian.
Keywords
Cite
@article{arxiv.2006.10542,
title = {The Randers metrics of weakly isotropic scalar curvature},
author = {Xinyue Cheng and Yannian Gong},
journal= {arXiv preprint arXiv:2006.10542},
year = {2020}
}