η-RICCI SOLITONS IN (ε)-ALMOST PARACONTACT METRIC MANIFOLDS

Abstract

The object of this paper is to study eta-Ricci solitons on (epsilon)-almost paracontact metric manifolds. We investigate eta-Ricci solitons in the case when its potential vector field is exactly the characteristic vector field xi of the (epsilon)-almost paracontact metric manifold and when the potential vector field is torse-forming. We also study Einstein-like and (epsilon)-para Sasakian manifolds admitting eta-Ricci solitons. Finally we obtain some results for eta-Ricci solitons on (epsilon)-almost paracontact metric manifolds with a special view towards parallel symmetric (0, 2)-tensor fields.