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Dergiler / Hagia Sophia Journal of Geometry / 2026 / Cilt: 3 Sayı: 1

On the Geometry $(k,\mu )$-Paracontact Metric Manifold Satisfying Certain Curvature Conditions

Pakize Uygun(TOKAT GAZİOSMANPAŞA ÜNİVERSİTESİ)
Mehmet Atçeken(AKSARAY ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ)0000-0002-1242-4359
Sayfa
16–22
Yayın Tarihi
2021-08-30
DOI
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

According the cases, we have classified ( k , μ k,μ )-paracontact metric manifolds.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the present paper, we have studied the curvature tensors of (k, μ μ )-paracontact metric manifold satisfying the conditions ˜ Z ( X , Y ) ⋅ R = 0 Z~(X,Y)⋅R=0 , ˜ Z Z~ , \ R ( X , Y ) ⋅ ˜ Z = 0 R(X,Y)⋅Z~=0 and $R(X,Y)\cdot R=0$.
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Temel Bulgular & Veri:In the present paper, we have studied the curvature tensors of (k, μ μ )-paracontact metric manifold satisfying the conditions ˜ Z ( X , Y ) ⋅ R = 0 Z~(X,Y)⋅R=0 , ˜ Z Z~ , \ R ( X , Y ) ⋅ ˜ Z = 0 R(X,Y)⋅Z~=0 and $R(X,Y)\cdot R=0$.
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Sonuç & Katkı:According the cases, we have classified ( k , μ k,μ )-paracontact metric manifolds.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:($k · \mu$)-paracontact manifold · $\eta$-Einstein manifold

Abstract

In the present paper, we have studied the curvature tensors of (k, μ μ )-paracontact metric manifold satisfying the conditions ˜ Z ( X , Y ) ⋅ R = 0 Z~(X,Y)⋅R=0 , ˜ Z Z~ , \ R ( X , Y ) ⋅ ˜ Z = 0 R(X,Y)⋅Z~=0 and $R(X,Y)\cdot R=0$. According the cases, we have classified ( k , μ k,μ )-paracontact metric manifolds.

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Bu Makaleye Atıf Yap

Uygun, P., Atçeken, M. (2021). On the Geometry $(k,\mu )$-Paracontact Metric Manifold Satisfying Certain Curvature Conditions. Hagia Sophia Journal of Geometry, Cilt: 3 Sayı: 1, 16–22. https://ajindex.com/articles/1490453

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Kaynakça (18)

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