Research profile
Works on sasakian & contact geometry, almost & η-Ricci solitons and Ricci solitons.
Also appears as Selcen Yuksel Perktas
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We consider almost -Ricci solitons in -para Sasakian manifolds satisfying certain curvature conditions. In the gradient case we give an estimation of the Ricci curvature tensor's norm and express the scalar curvature of the manifold in terms of the functions that define the soliton. We also prove that if the Ricci operator is Codazzi, then the gradient -Ricci soliton is expanding if is spacelike or shrinking if is timelike.
The object of this paper is to study -Ricci solitons on -almost paracontact metric manifolds. We investigate -Ricci solitons in the case when its potential vector field is exactly the characteristic vector field of the -almost paracontact metric manifold and when the potential vector field is torse-forming. We also study Einstein-like and -para Sasakian manifolds admitting -Ricci solitons. Finally we obtain some results for -Ricci solitons on -almost paracontact metric manifolds with a special view towards parallel symmetric (0,2)-tensor fields.
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