Torse-Forming $\eta$-Ricci Solitons in Almost Paracontact $\eta$-Einstein Geometry


Adara M. Blaga, Mircea Crasmareanu




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.