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Keywords = weakly φ-Einstein manifold

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14 pages, 309 KiB  
Article
Certain Curvature Conditions on Kenmotsu Manifolds and ★-η-Ricci Solitons
by Halil İbrahim Yoldaş, Abdul Haseeb and Fatemah Mofarreh
Axioms 2023, 12(2), 140; https://doi.org/10.3390/axioms12020140 - 30 Jan 2023
Cited by 11 | Viewed by 2126
Abstract
The present paper deals with the investigations of a Kenmotsu manifold satisfying certain curvature conditions endowed with -η-Ricci solitons. First we find some necessary conditions for such a manifold to be φ-Einstein. Then, we study the notion of [...] Read more.
The present paper deals with the investigations of a Kenmotsu manifold satisfying certain curvature conditions endowed with -η-Ricci solitons. First we find some necessary conditions for such a manifold to be φ-Einstein. Then, we study the notion of -η-Ricci soliton on this manifold and prove some significant results related to this notion. Finally, we construct a nontrivial example of three-dimensional Kenmotsu manifolds to verify some of our results. Full article
(This article belongs to the Special Issue Differential Geometry and Its Application)
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