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<title>Mehmet Akif Akyol — Neckpinch</title><link>https://neckpinch.com/authors/mehmet-akif-akyol/</link><description>New arXiv papers by Mehmet Akif Akyol, from Neckpinch</description>
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<item><title>η-Ricci-Yamabe Soliton on Riemannian Submersions from Riemannian manifolds</title><link>https://neckpinch.com/papers/2004.14124/</link><guid isPermaLink="false">arxiv:2004.14124</guid><pubDate>Thu, 23 Apr 2020 00:00:00 GMT</pubDate><description>Mohd. Danish Siddiqi, Mehmet Akif Akyol — In this research article, we establish the geometrical bearing on Riemannian submersions in terms of η-Ricci-Yamabe Soliton with the potential field and giving the classification of any fiber of Riemannian submersion is an η-Ricci-Yamabe soliton, η-Ricci soliton and η-Yamabe soliton. We also discuss the various conditions for which the target manifold of Riemannian submersion is an η-Ricci-Yamabe soliton, η-Ricci soliton, η-Yamabe soliton and quasi-Yamabe soliton. In a particular case when the potential filed V of the η-Ricci-Yamabe soliton is of gradient type, we derive a Laplacian equation and providing some examples of an η-Ricci-Yamabe soliton on a Riemannian submersion. Finally, we study harmonic aspect of η-Ricci-Yamabe soliton on Riemannian submersions and mention geometrical and physical effects of Ricci-Yamabe solitons.</description><category>Ricci solitons</category><category>Almost &amp; η-Ricci solitons</category></item>
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