Milad Zeinali Laki - Department of Mathematics, University of Mohaghegh Ardabili, p.o.box. ۵۶۱۹۹۱۱۳۶۷, Ardabil-Iran.

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.

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