Some rigidity results on homogeneous Finsler spaces equipped with Killing frames

Utilizing Killing frames on homogeneous Finsler manifolds, we express the Berwald and mean Berwald curvatures in terms of Killing frames and get some rigidity results among them we prove that homogeneous isotropic weakly Berwald metrics reduce to weakly Berwald metric.

Keywords:

Homogeneous Finsler metrics , Berwald metric , Weakly Berwald metric