Flag curvature of invariant 3-power metrics on homogeneous spaces

Document Type : Original Article


Department of Mathematics, University of Mohaghegh Ardabili, p.o.box. 5619911367, Ardabil-Iran.


In this paper, we consider invariant 3-power metric F=(α + β)32 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 3-power metrics.