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<title>Dipen Ganguly — Neckpinch</title><link>https://neckpinch.com/authors/dipen-ganguly/</link><description>New arXiv papers by Dipen Ganguly, from Neckpinch</description>
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<item><title>Kenmotsu metric as conformal η-Ricci soliton</title><link>https://neckpinch.com/papers/2108.11639/</link><guid isPermaLink="false">arxiv:2108.11639</guid><pubDate>Thu, 26 Aug 2021 00:00:00 GMT</pubDate><description>Dipen Ganguly — The object of the present paper is to characterize the class of Kenmotsu manifolds which admits conformal η-Ricci soliton. Here, we have investigated the nature of the conformal η-Ricci soliton within the framework of Kenmotsu manifolds. It is shown that an η-Einstein Kenmotsu manifold admitting conformal η-Ricci soliton is an Einstein one. Moving further, we have considered gradient conformal η-Ricci soliton on Kenmotsu manifold and established a relation between the potential vector field and the Reeb vector field. Next, it is proved that under certain condition, a conformal η-Ricci soliton on Kenmotu manifolds under generalized D-conformal deformation remains invariant. Finally, we have constructed an example for the existence of conformal η-Ricci soliton on Kenmotsu manifold.</description><category>Ricci solitons</category><category>Almost &amp; η-Ricci solitons</category><category>Sasakian &amp; contact geometry</category></item>
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