论文标题
弱各向同性标量曲率的兰德斯指标
The Randers metrics of weakly isotropic scalar curvature
论文作者
论文摘要
在本文中，我们研究了弱各向同性标量曲率的兰德斯指标。我们证明，弱各向同性标量曲率的兰德斯度量必须是各向同性$ s $ curvature的指标。此外，我们证明了弱各向同性标量曲率的共形扁平兰德斯度量是Minkowskian或Riemannian。
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.
