Torse-Forming η-Ricci Solitons in Almost Paracontact η-Einstein Geometry

Abstract

Torse-forming $\eta $-Ricci solitons are studied in the framework of almost paracontact metric $\eta $-Einstein manifolds. By adding a technical condition, called regularity and concerning with the scalars provided by the two $\eta $-conditions, is obtained a reduction result for the parallel symmetric covariant tensor fields of order two.