Notes on η‐Einstein solitons on para‐Kenmotsu manifolds
Copyright policy )Notes on η‐Einstein solitons on para‐Kenmotsu manifolds
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.
Special Riemannian manifolds (Einstein, Sasakian, etc.), Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows), Einstein manifold, para-Kenmotsu manifold, Einstein soliton
Special Riemannian manifolds (Einstein, Sasakian, etc.), Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows), Einstein manifold, para-Kenmotsu manifold, Einstein soliton
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