The Randers metrics of weakly isotropic scalar curvature

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Duration: 3 min 30 s
Description: 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.
Xinyue Cheng; Yannian Gong
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