论文标题
在各向同性的Berwald标量曲率上
On isotropic Berwald scalar curvature
论文作者
论文摘要
在这篇简短的论文中，我们在Berwald标量曲率和$ S $ curvature之间建立了更紧密的关系。实际上，我们证明，如果且仅当它具有弱的各向同性$ s $ curvature时，鳍度量指标具有各向同性的Berwald call曲率。对于标量标志曲率和弱各向同性$ s $ curvature的Finsler指标，它们几乎具有各向同性$ s $ curvature时，并且仅当FLAG曲率弱的各向同性时。
In this short paper, we establish a closer relation between the Berwald scalar curvature and the $S$-curvature. In fact, we prove that a Finsler metric has isotropic Berwald scalar curvature if and only if it has weakly isotropic $S$-curvature. For Finsler metrics of scalar flag curvature and of weakly isotropic $S$-curvature, they have almost isotropic $S$-curvature if and only if the flag curvature is weakly isotropic.
