Η-Ricci SOLITONS ON 3-Dimensional N(k)-Contact METRIC MANIFOLDS

Abstract

The object of the present paper is to study η-Ricci solitons on 3-dimensional N (k)-contact metric manifolds. First we consider φ-concircularly semisymmetric η-Ricci soliton on 3-dimensional N (k)-contact metric manifolds. Beside these, we also study h-concircularly semisymmetric η-Ricci soliton on 3-dimensional N (k)-contact metric manifolds. Moreover we study concircularly semisymmetric η-Ricci soliton on 3-dimensional N (k)-contact metric manifolds. Finally, we construct an example of a 3-dimensional N (k)-contact metric manifold which admits η-Ricci solitons.