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Dergiler / Hagia Sophia Journal of Geometry / 2026 / Cilt: 6 Sayı: 1

Ricci Solitons on Pseudosymmetric $(\kappa,\mu)$-Paracontact Metric Manifolds

Mehmet Atçeken(AKSARAY UNIVERSITY)0000-0002-1242-4359
Tuğba Mert(SIVAS CUMHURIYET UNIVERSITY)0000-0001-8258-8298
Pakize Uygun(AKSARAY UNIVERSITY)0000-0001-8226-4269
Sayfa
33–44
Yayın Tarihi
2024-06-30
DOI
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Finally, we have also constructed a non-trivial example of $(\kappa,\mu)$-paracontact metric manifolds whose metric admits Ricci soliton and found the functions for the Ricci pseudosymmetric conditions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The object of the present paper is to study some types of Ricci pseudosymmetric $(\kappa,\mu)$-paracontact metric manifolds whose metric admits Ricci soliton.
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Temel Bulgular & Veri:We researched the conditions when Ricci soliton on Ricci pseudosymmetric, concircular Ricci pseudosymmetric, $W_3$-Ricci pseudosymmetric, Weyly projective Ricci pseudosymmetric and conharmonic Ricci pseudosmettric conditions on a $(\kappa,\mu)$-paracontact metric manifold.
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Sonuç & Katkı:Finally, we have also constructed a non-trivial example of $(\kappa,\mu)$-paracontact metric manifolds whose metric admits Ricci soliton and found the functions for the Ricci pseudosymmetric conditions.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Paracontact metric manifold · $(\kappa · \mu)$-paracontact metric manifold

Abstract

The object of the present paper is to study some types of Ricci pseudosymmetric $(\kappa,\mu)$-paracontact metric manifolds whose metric admits Ricci soliton. We researched the conditions when Ricci soliton on Ricci pseudosymmetric, concircular Ricci pseudosymmetric, $W_3$-Ricci pseudosymmetric, Weyly projective Ricci pseudosymmetric and conharmonic Ricci pseudosmettric conditions on a $(\kappa,\mu)$-paracontact metric manifold. According to these conditions, we have evaluated the manifold to be shrinking, steady and expanding. Finally, we have also constructed a non-trivial example of $(\kappa,\mu)$-paracontact metric manifolds whose metric admits Ricci soliton and found the functions for the Ricci pseudosymmetric conditions.

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Bu Makaleye Atıf Yap

Atçeken, M., Mert, T., Uygun, P. (2024). Ricci Solitons on Pseudosymmetric $(\kappa,\mu)$-Paracontact Metric Manifolds. Hagia Sophia Journal of Geometry, Cilt: 6 Sayı: 1, 33–44. https://ajindex.com/articles/1490431

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