On isotropic Berwald scalar curvature

Ming Li

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arXiv · 2205.04900

On isotropic Berwald scalar curvature

Ming Li

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Abstract

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.

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Ming Li. 2022-05-10. On isotropic Berwald scalar curvature. https://arxiv.org/abs/2205.04900

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