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.
Primary Language | English |
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Subjects | Applied Mathematics (Other) |
Journal Section | Articles |
Authors | |
Publication Date | October 31, 2023 |
Submission Date | June 10, 2023 |
Acceptance Date | October 4, 2023 |
Published in Issue | Year 2023 Volume: 11 Issue: 2 |