2023•Mathematical Methods in the Applied SciencesRequires access

Notes on η‐Einstein solitons on para‐Kenmotsu manifolds

Halil İbrahim Yoldaş

Abstract

The present paper deals with the investigation of Para‐Kenmotsu manifolds admitting ‐Einstein solitons. Some necessary conditions for such manifolds to be Einstein are given, and it is proven that if a para‐Kenmotsu manifold admits an ‐Einstein soliton, then the manifold is Einstein. Then, some noteworthy characterizations that classify para‐Kenmotsu manifolds admitting such solitons are obtained.

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Key concepts: Einstein, Manifold (fluid mechanics), Einstein manifold, Ricci-flat manifold, Soliton, Mathematics, Mathematical physics, Pure mathematics