Generalized Sasakian Space-Forms with Beta-Kenmotsu Structure and Ricci Solitons

Abstract

We explore the properties of almost Ricci solitons and the gradient Ricci solitons on generalized Sasakian-space-forms with beta-Kenmotsu structure. We consider almost Ricci solitons on generalized Sasakian-space-forms with beta-Kenmotsu structure when the soliton vector field coincides with the Reeb vector field, and it is point-wise collinear with the Reeb vector field. We also investigate the properties of generalized Sasakian-space-forms with beta-Kenmotsu structure admitting the gradient Ricci solitons.

Keywords

• almost contact metric manifolds
• generalized sasakian space-forms
• curvature tensors
• eta-einstein manifolds
• ricci flow
• almost ricci soliton