Kenmotsu 3-manifolds and gradient solitons

The aim of this article is to characterize a Kenmotsu 3-manifold whose metric is either a gradient Yamabe soliton or gradient Einstein soliton. It is proven that in both cases this manifold is reduced to the manifold of constant sectional curvature. Finally, we verify the obtained results by an exam...

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Veröffentlicht in:	Karpats'kì matematinì publìkacìï 2023-01, Vol.15 (1), p.120-127
Hauptverfasser:	Mofarreh, F., De, U.C.
Format:	Artikel
Sprache:	eng
Schlagworte:	gradient einstein soliton gradient yamabe soliton kenmotsu 3-manifold
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Zusammenfassung:	The aim of this article is to characterize a Kenmotsu 3-manifold whose metric is either a gradient Yamabe soliton or gradient Einstein soliton. It is proven that in both cases this manifold is reduced to the manifold of constant sectional curvature. Finally, we verify the obtained results by an example.
ISSN:	2075-9827 2313-0210
DOI:	10.15330/cmp.15.1.120-127