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arXiv · 2006.10542

The Randers metrics of weakly isotropic scalar curvature

Xinyue Cheng·Yannian Gong
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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 $S$-curvature. Further, we prove that a conformally flat Randers metric of weakly isotropic scalar curvature is either Minkowskian or Riemannian.

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Xinyue Cheng, Yannian Gong. 2020-06-18. The Randers metrics of weakly isotropic scalar curvature. https://arxiv.org/abs/2006.10542

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