Geodesic
A note on $(k,\mu)'$-almost Kenmotsu manifolds
Novi Sad Journal of Mathematics, Tome 54 (2024) no. 1.

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In this paper, we classify $(k,\mu)'$-almost Kenmotsu manifolds admitting some special vector fields such as concircular and torse-forming. Furthermore, we characterize $(k,\mu)'$-almost Kenmotsu manifolds with an $\eta$-Ricci soliton whose potential vector field is projective and affine conformal. Beside these we study gradient $\eta$-Ricci soliton on $(k,\mu)'$-almost Kenmotsu manifolds. Finally, the existence of an $\eta$-Ricci soliton on a 3-dimensional $(k,\mu)'$-almost Kenmotsu manifold is ensured by a proper example.
Publié le :
DOI : 10.30755/NSJOM.12930
Classification : 53C15, 53C25, 53E20
Keywords: $\eta$-Ricci soliton, gradient $\eta$-Ricci soliton, torse-forming, concircular, projective, affine conformal, $(k,\mu)'$-almost Kenmotsu manifolds, almost Kenmotsu manifolds 
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     title = {A note on $(k,\mu)'$-almost {Kenmotsu} manifolds},
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Uday Chand De; Arpan Sardar. A note on $(k,\mu)'$-almost Kenmotsu manifolds. Novi Sad Journal of Mathematics, Tome 54 (2024) no. 1. doi : 10.30755/NSJOM.12930. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.12930/

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