Para-Sasakian manifolds and *-Ricci solitons

2018/01/05 by D. G. Prakasha, Prakasha, D. G., P. Veeresha +1
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.1801.01727

Abstract

In this paper we study a special type of metric called *-Ricci soliton on para-Sasakian manifold. We prove that if the para-Sasakian metric is a *-Ricci soliton on a manifold M, then M is either D-homothetic to an Einstein manifold, or the Ricci tensor of M with respect to the canonical paracontact connection vanishes.

Related

• Sasakian Manifold and *-Ricci Tensor
• Ricci solitons on Sasakian manifolds
• Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian Π-manifolds
• η-Ricci solitons in (ε)-almost paracontact metric manifolds
• η-Ricci solitons on para-Kenmotsu manifolds