Geodesic
$\eta $-Ricci Solitons on $\eta $-Einstein $(LCS)_n$-Manifolds
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 101-109.

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The object of the present paper is to study $\eta $-Ricci solitons on $\eta $-Einstein $(LCS)_n$-manifolds. It is shown that if $\xi $ is a recurrent torse forming $\eta $-Ricci soliton on an $\eta $-Einstein $(LCS)_n$-manifold then $\xi $ is (i) concurrent and (ii) Killing vector field.
Classification : 53B30, 53C15, 53C25
Keywords: $\eta $-Ricci soliton; $\eta $-Einstein manifold; $(LCS)_n$-manifold 
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Hui, Shyamal Kumar; Chakraborty, Debabrata. $\eta $-Ricci Solitons on $\eta $-Einstein $(LCS)_n$-Manifolds. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 101-109. http://geodesic.mathdoc.fr/item/AUPO_2016__55_2_a8/