Altunbaş, Murat

Let (M, g) be an n−dimensional Riemannian manifold and T1M its tangent sphere bundle with the contact metric structure (Formula Presented), where (Formula Presented) is the Kaluza-Klein metric. Let (Formula Presented) be the Ricci operator and h be the structural operator on T1M. In this paper, we find some conditions for the relations (Formula Presented) to be satisfied.

Altunbaş, Murat

In this paper, we study Ricci-Yamabe and gradient Yamabe solitons on the Lie group H2 × ℝ with a left-invariant metric. We prove that the kind of the Ricci-Yamabe soliton is only related with one variable existing in the definition.