Almost Kenmotsu metric as a conformal Ricci soliton

Dey, Dibakar; Majhi, Pradip

doi:10.1090/ecgd/335

Almost Kenmotsu metric as a conformal Ricci soliton
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by Dibakar Dey and Pradip Majhi

Conform. Geom. Dyn. 23 (2019), 105-116

DOI: https://doi.org/10.1090/ecgd/335

Published electronically: June 21, 2019

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Abstract:

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.

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