Para-Sasakian manifolds and *-Ricci solitons
classification
🧮 math.DG
keywords
riccimanifoldpara-sasakianmetricsolitoncalledcanonicalconnection
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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.
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