$\alpha$-Almost Ricci solitons on $(k,\mu)'$-almost Kenmotsu manifolds
Novi Sad Journal of Mathematics, Tome 52 (2022) no. 2.

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We consider $\alpha$-almost Ricci solitons on $(k,\mu)'$-almost Kenmotsu manifolds with an $\eta$-parallel Ricci tensor. Then we study $\alpha$-almost Ricci solitons on $(k,\mu)'$-almost Kenmotsu manifolds satisfying the curvature conditions $P.\phi = 0$, $Q.P = 0$ and $Q.R = 0$ respectively. Finally, we construct an example of a 3-dimensional $(k,\mu)'$-almost Kenmotsu manifold which admits an $\alpha$-almost Ricci soliton.
Publié le :
DOI : 10.30755/NSJOM.11578
Classification : 53C15, 53C25
Keywords: Ricci soliton, $\alpha$-almost Ricci soliton, $(k,\mu)'$-almost Kenmotsu manifolds, $\eta$-parallel Ricci tensor, projective curvature tensor
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     author = {Arpan Sardar and Avijit Sarkar},
     title = {$\alpha${-Almost} {Ricci} solitons on $(k,\mu)'$-almost {Kenmotsu} manifolds},
     journal = {Novi Sad Journal of Mathematics},
     pages = {69 - 80},
     publisher = {mathdoc},
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     year = {2022},
     doi = {10.30755/NSJOM.11578},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.11578/}
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Arpan Sardar; Avijit Sarkar. $\alpha$-Almost Ricci solitons on $(k,\mu)'$-almost Kenmotsu manifolds. Novi Sad Journal of Mathematics, Tome 52 (2022) no. 2. doi : 10.30755/NSJOM.11578. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.11578/

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