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
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description	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.
doi_str_mv	10.1090/ecgd/335
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title	Almost Kenmotsu metric as a conformal Ricci soliton
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