2022/07/26 by Li, Ming
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2207.12896
In this short paper, we study a symmetric covariant tensor in Finsler geometry, which is called the mean Berwald curvature. We first investigate the geometry of the fibres as the submanifolds of the tangent sphere bundle on a Finsler manifold. Then we prove that if the mean Berwald curvature is isotropic along fibres, then the Berwald scalar curvature is constant along fibres.