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<title>Selcen Yüksel Perktaş — Neckpinch</title><link>https://neckpinch.com/authors/selcen-yuksel-perktas/</link><description>New arXiv papers by Selcen Yüksel Perktaş, from Neckpinch</description>
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<item><title>Remarks on almost η-Ricci solitons in (ε)-para Sasakian manifolds</title><link>https://neckpinch.com/papers/1804.05389/</link><guid isPermaLink="false">arxiv:1804.05389</guid><pubDate>Sun, 15 Apr 2018 00:00:00 GMT</pubDate><description>Adara M. Blaga, Selcen Yuksel Perktas — We consider almost η-Ricci solitons in (ε)-para Sasakian manifolds satisfying certain curvature conditions. In the gradient case we give an estimation of the Ricci curvature tensor&apos;s norm and express the scalar curvature of the manifold in terms of the functions that define the soliton. We also prove that if the Ricci operator is Codazzi, then the gradient η-Ricci soliton is expanding if M is spacelike or shrinking if M is timelike.</description><category>Ricci solitons</category><category>Almost &amp; η-Ricci solitons</category><category>Scalar curvature</category><category>Sasakian &amp; contact geometry</category><category>Physics</category></item>
<item><title>η-Ricci solitons in (ε)-almost paracontact metric manifolds</title><link>https://neckpinch.com/papers/1707.07528/</link><guid isPermaLink="false">arxiv:1707.07528</guid><pubDate>Mon, 24 Jul 2017 00:00:00 GMT</pubDate><description>Adara Monica Blaga, Selcen Yüksel Perktaş, Bilal Eftal Acet, Feyza Esra Erdoğan — The object of this paper is to study η-Ricci solitons on (ε)-almost paracontact metric manifolds. We investigate η-Ricci solitons in the case when its potential vector field is exactly the characteristic vector field ξ of the (ε)-almost paracontact metric manifold and when the potential vector field is torse-forming. We also study Einstein-like and (ε)-para Sasakian manifolds admitting η-Ricci solitons. Finally we obtain some results for η-Ricci solitons on (ε)-almost paracontact metric manifolds with a special view towards parallel symmetric (0,2)-tensor fields.</description><category>Ricci solitons</category><category>Almost &amp; η-Ricci solitons</category><category>Sasakian &amp; contact geometry</category></item>
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