Almost Kenmotsu Metrics with Quasi Yamabe Soliton

In the present paper, we characterize, for a class of almost Kenmotsu manifolds, those that admit quasi Yamabe solitons. We show that if a (k, )'-almost Kenmotsu manifold admits a quasi Yamabe soliton (g, V, , ) where V is pointwise collinear with , then (1) V is a constant multiple of , (2) V...

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Veröffentlicht in:Kyungpook mathematical journal 2023, Vol.63 (1), p.97-104
Hauptverfasser: Pradip Majhi, Dibakar Dey
Format: Artikel
Sprache:eng ; kor
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Zusammenfassung:In the present paper, we characterize, for a class of almost Kenmotsu manifolds, those that admit quasi Yamabe solitons. We show that if a (k, )'-almost Kenmotsu manifold admits a quasi Yamabe soliton (g, V, , ) where V is pointwise collinear with , then (1) V is a constant multiple of , (2) V is a strict infinitesimal contact transformation, and (3) (£Vh')X = 0 holds for any vector field X. We present an illustrative example to support the result.
ISSN:1225-6951
0454-8124
DOI:10.5666/KMJ.2022.63.1.97