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Torse-forming η-Ricci solitons in almost paracontact η-Einstein geometry

Blaga Adara M. (West University of Timişoara, Department of Mathematics and Computer Science, Timişoara, Romˆania)
Crasmareanu Mircea (University ”Al.I. Cuza”, Faculty of Mathematics, Iaşi, România)

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

Keywords: almost paracontact metric manifold, η-Einstein condition, η-Ricci soliton, torse-forming vector field