Flag curvature of invariant ۳-power metrics on homogeneous spaces

In this paper, we consider invariant ۳-power metric F=(α + β)۳/α۲ such that induced by invariant Riemannian metrics a and invariant vector fields X on homogeneous spaces. We give an explicit formula for the flag curvature of invariant ۳-power metrics.

کلیدواژه ها:

۳-power (α ، β ) -metric ، flag curvature ، Homogeneous space ، Invariant ۳-power metrics