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Certain Curvature Conditions on Kenmotsu Manifolds and ★-η;-Ricci Solitons

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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… Click to show full 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 🟉-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.

Keywords: curvature conditions; manifolds ricci; conditions kenmotsu; ricci solitons; certain curvature; kenmotsu manifolds

Journal Title: Axioms
Year Published: 2023

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