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<title>Pradip Majhi — Neckpinch</title><link>https://neckpinch.com/authors/pradip-majhi/</link><description>New arXiv papers by Pradip Majhi, from Neckpinch</description>
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<item><title>N(k)-contact metric as ∗-conformal Ricci soliton</title><link>https://neckpinch.com/papers/2005.02194/</link><guid isPermaLink="false">arxiv:2005.02194</guid><pubDate>Fri, 01 May 2020 00:00:00 GMT</pubDate><description>Dibakar Dey, Pradip Majhi — The aim of this paper is characterize a class of contact metric manifolds admitting ∗-conformal Ricci soliton. It is shown that if a (2n + 1)-dimensional N(k)-contact metric manifold M admits ∗-conformal Ricci soliton or ∗-conformal gradient Ricci soliton, then the manifold M is ∗-Ricci at and locally isometric to the Riemannian of a flat (n + 1)-dimensional manifold and an n-dimensional manifold of constant curvature 4 for n &gt; 1 and flat for n = 1. Further, for the first case, the soliton vector field is conformal and for the ∗-gradient case, the potential function f is either harmonic or satisfy a Poisson equation. Finally, an example is presented to support the results.</description><category>Ricci solitons</category><category>Almost &amp; η-Ricci solitons</category><category>Sasakian &amp; contact geometry</category></item>
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