η -∗-Ricci Solitons and Almost co-Kähler Manifolds

Arpan Sardar, Mohammad Nazrul Islam Khan and Uday Chand De
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Arpan Sardar: Department of Mathematics, University of Kalyani, Kalyani 741235, India
Mohammad Nazrul Islam Khan: Department of Computer Engineering, College of Computer, Qassim University, Buraydah 51452, Saudi Arabia
Uday Chand De: Department of Pure Mathematics, University of Calcutta, 35, Ballygaunge Circular Road, Kolkata 700019, India

Mathematics, 2021, vol. 9, issue 24, 1-11

Abstract: The subject of the present paper is the investigation of a new type of solitons, called η -∗-Ricci solitons in ( k , μ ) -almost co-Kähler manifold (briefly, a c k m ), which generalizes the notion of the η -Ricci soliton introduced by Cho and Kimura. First, the expression of the ∗-Ricci tensor on a c k m is obtained. Additionally, we classify the η -∗-Ricci solitons in ( k , μ ) - a c k m s. Next, we investigate ( k , μ ) - a c k m s admitting gradient η -∗-Ricci solitons. Finally, we construct two examples to illustrate our results.

Keywords: ?-Ricci tensor; ? -?-Ricci solitons; gradient ? -?-Ricci solitons; almost co-Kähler manifolds; ( k , ? )-almost co-Kähler manifolds (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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