Ricci solitons on Sasakian manifolds under a new deformation

Abstract

"The object of the present paper is to introduce a new transformation of almost contact metric manifolds. Firstly, starting from a Sasakian manifold we construct another Sasakian manifold and we prove some geometric properties. Secondly, we study Ricci solitons in Sasakian manifolds under this deformation. Concrete examples are given."