Para-Sasakian manifolds and *-Ricci solitons
Differential Geometry
2018-01-08 v1
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.
Cite
@article{arxiv.1801.01727,
title = {Para-Sasakian manifolds and *-Ricci solitons},
author = {D. G. Prakasha and Pundikala Veeresha},
journal= {arXiv preprint arXiv:1801.01727},
year = {2018}
}
Comments
12 pages