Geodesic
$\eta$-Ricci solitons and gradient Ricci solitons on $f$-Kenmotsu manifolds
Matematičeskaâ fizika i kompʹûternoe modelirovanie, Tome 23 (2020) no. 4, pp. 19-34.

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The aim of the present research article is to discuss the $f$-Kenmotsu manifolds with respect to a semi-symmetric non-metric connection conceding an $\eta$-Ricci soliton and gradient Ricci soliton. Moreover, we prove that the second order symmetric tensor is a constant multiple of the metric tensor and parallel with respect to the semi-symmetric non-metric connection. In addition,we illustrate an example to exhibit that $3$-dimensional $f$-Kenmotsu manifolds with a semi-symmetric non-metric connection concede an expanding $\eta$-Ricci soliton. Finally, it is shown that locally $\phi$-symmetric $3$-dimensional $f$-Kenmotsu manifolds with a semi-symmetric non-metric connection concede a gradient Ricci soliton.
Keywords: $f$-Kenmotsu manifold, semi-symmetric non metric connection, $\eta$-Einstein manifold.
Mots-clés : $\eta$-Ricci Solitons, gradient Ricci solitons 
@article{VVGUM_2020_23_4_a2,
     author = {Mohd Danish Siddiqi},
     title = {$\eta${-Ricci} solitons and gradient {Ricci} solitons on $f${-Kenmotsu} manifolds},
     journal = {Matemati\v{c}eska\^a fizika i kompʹ\^uternoe modelirovanie},
     pages = {19--34},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VVGUM_2020_23_4_a2/}
}
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Mohd Danish Siddiqi. $\eta$-Ricci solitons and gradient Ricci solitons on $f$-Kenmotsu manifolds. Matematičeskaâ fizika i kompʹûternoe modelirovanie, Tome 23 (2020) no. 4, pp. 19-34. http://geodesic.mathdoc.fr/item/VVGUM_2020_23_4_a2/