2017/07/24 by Adara M. Blaga, Blaga, Adara Monica, Selcen Yüksel Perktaş +5
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
paper · doi:10.48550/arxiv.1707.07528
openalex publication_date 2017/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The object of this paper is to study η-Ricci solitons on (ε)-almost paracontact metric manifolds. We investigate η-Ricci solitons in the case when its potential vector field is exactly the characteristic vector field ξ of the (ε)-almost paracontact metric manifold and when the potential vector field is torse-forming. We also study Einstein-like and (ε)-para Sasakian manifolds admitting η-Ricci solitons. Finally we obtain some results for η-Ricci solitons on (ε)-almost paracontact metric manifolds with a special view towards parallel symmetric (0,2)-tensor fields.