SOME GEOMETRICAL RESULTS ON NEARLY KÄHLER FINSLER MANIFOLDS

Abstract

This work is intended as an attempt to extend some results of nearly Kählerian Finsler manifolds. We give a condition to generalized $ (a, b, {\bf J})- $manifolds to be weakly Landsberg metric. Furthermore, we find the conditions under which a nearly Kähler Finsler manifold has relatively isotropic Landsberg curvature and relatively isotropic mean Landsberg curvature.