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Dergiler / Konuralp Journal of Mathematics / 2023 / Volume: 11 Issue: 2

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

Tuğba Mert(CUMHURİYET ÜNİVERSİTESİ)0000-0001-8258-8298
Mehmet Atçeken(AKSARAY ÜNİVERSİTESİ)0000-0002-1242-4359
Sayfa
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Yayın Tarihi
2023-10-31
DOI
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Then some characterizations are obtained and some classifications have made under the some conditions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we have considered normal paracontact metric space forms admitting almost $\eta-$Ricci solitons in some curvature tensors.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:Then some characterizations are obtained and some classifications have made under the some conditions.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Ricci-pseudosymmetric Manifold · η-Ricci Soliton · Normal Paracontact Metric Space Form

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.

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Bu Makaleye Atıf Yap

Mert, T., Atçeken, M. (2023). Normal Paracontact Metric Space Forms Admitting Almost $\eta-$Ricci Solitons. Konuralp Journal of Mathematics, Volume: 11 Issue: 2. https://ajindex.com/articles/1521515

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