Abstract
In this paper, we study the properties of ϵ-Kenmotsu manifolds if its metrics are *η-Ricci-Yamabe solitons. It is proven that an ϵ-Kenmotsu manifold endowed with a *η-Ricci-Yamabe soliton is η-Einstein. The necessary conditions for an ϵ-Kenmotsu manifold, whose metric is a *η-Ricci-Yamabe soliton, to be an Einstein manifold are derived. Finally, we model an indefinite Kenmotsu manifold example of dimension 5 to examine the existence *η-Ricci-Yamabe solitons.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference46 articles.
1. Sasakian manifold with pseudo-Riemannian metric
2. Real hypersurfaces of indefinite Kaehler manifolds
3. A class of almost contact Riemannian manifolds
4. On ϵ-Kenmotsu manifold;De;Hardonic J.,2009
5. On ϵ-Kenmotsu 3-manifolds admitting *-conformal η-Ricci solitons;Haseeb;Balk. J. Geom. Its Appl.,2021
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献