Almost Kenmotsu metric as a conformal Ricci soliton

In the present paper, we characterize (k,\mu )' and generalized (k,\mu )'-almost Kenmotsu manifolds admitting the conformal Ricci soliton. It is also shown that a (k,\mu )'-almost Kenmotsu manifold M^{2n+1} does not admit conformal gradient Ricci soliton (g,V,\lambda ) with V collinea...

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Veröffentlicht in:Conformal geometry and dynamics 2019-06, Vol.23 (5), p.105-116
Hauptverfasser: Dey, Dibakar, Majhi, Pradip
Format: Artikel
Sprache:eng
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Zusammenfassung:In the present paper, we characterize (k,\mu )' and generalized (k,\mu )'-almost Kenmotsu manifolds admitting the conformal Ricci soliton. It is also shown that a (k,\mu )'-almost Kenmotsu manifold M^{2n+1} does not admit conformal gradient Ricci soliton (g,V,\lambda ) with V collinear with the characteristic vector field \xi . Finally an illustrative example is presented.
ISSN:1088-4173
1088-4173
DOI:10.1090/ecgd/335