The Geometry of δ-Ricci-Yamabe Almost Solitons on Para- contact Metric Manifolds

초록

In this article we study a delta-Ricci-Yamabe almost soliton within the framework of paracontact metric manifolds. In particular we study delta-Ricci-Yamabe almost soliton and gradient delta-Ricci-Yamabe almost soliton on K-paracontact and para-Sasakian manifolds. We prove that if a K-paracontact metric g represents a delta-Ricci-Yamabe almost soliton with the non-zero potential vector field V parallel to xi, then g is Einstein with Einstein constant -2n. We also show that there are no para-Sasakian manifolds that admit a gradient delta-Ricci-Yamabe almost soliton. We demonstrate a delta-Ricci-Yamabe almost soliton on a (kappa, mu)-paracontact manifold.

키워드