Normal Paracontact Metric Space Forms Admitting Almost $\\eta-$Ricci Solitons

Authors : Tuğba Mert, Mehmet Atçeken

Pages : 155-161

View : 63 | Download : 102

Publication Date : 2023-10-31

Article Type : Research Paper

Abstract :In this paper, we have considered normal paracontact metric space forms admitting almost $\\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of normal paracontact metric space forms admitting $\\eta-$Ricci soliton have introduced according to the choosing of some special curvature tensors such as Riemann, concircular, projective and $W_{1}$ curvature tensor$.$ After then, according to the choice of the curvature tensors, necessary conditions are given for normal paracontact metric space form admitting $\\eta-$Ricci soliton to be Ricci semisymmetric. Then some characterizations are obtained and some classifications have made under the some conditions.
Keywords : Ricci pseudosymmetric Manifold, η Ricci Soliton, Normal Paracontact Metric Space Form