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arxiv: 1801.01727 · v1 · pith:BFJFUJRLnew · submitted 2018-01-05 · 🧮 math.DG

Para-Sasakian manifolds and *-Ricci solitons

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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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