On isotropic Berwald scalar curvature
Differential Geometry
2022-05-11 v1
Abstract
In this short paper, we establish a closer relation between the Berwald scalar curvature and the -curvature. In fact, we prove that a Finsler metric has isotropic Berwald scalar curvature if and only if it has weakly isotropic -curvature. For Finsler metrics of scalar flag curvature and of weakly isotropic -curvature, they have almost isotropic -curvature if and only if the flag curvature is weakly isotropic.
Cite
@article{arxiv.2205.04900,
title = {On isotropic Berwald scalar curvature},
author = {Ming Li},
journal= {arXiv preprint arXiv:2205.04900},
year = {2022}
}