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Dergiler / Journal of Universal Mathematics / 2025 / Cilt: 8 Sayı: 2

Kenmotsu Ricci Soliton Manifoldları Üzerine Bir Çalışma

A study on Kenmotsu Ricci soliton manifolds

İnan Ünal(MUNZUR ÜNİVERSİTESİ)0000-0003-1318-9685
Sayfa
150–159
Yayın Tarihi
2025-10-19
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Ayrıca, literatürdeki genelleştirilmiş Tanaka-Webster bağlantısına göre Kenmotsu manifoldları ile ilgili sonuçları kullanıyoruz ve Ricci solitonlarını özel koşullarla sınıflandırıyoruz.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Bu çalışmada, Kenmotsu manifoldları üzerinde Ricci solitonlarını genelleştirilmiş Tanaka-Webster bağlantısına göre inceliyoruz.
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Temel Bulgular & Veri:Belirli eğrilik koşulları altında potansiyel vektör alanı ile ilgili bir Ricci soliton türü hakkında bazı sonuçlar elde ettik.
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Sonuç & Katkı:Ayrıca, literatürdeki genelleştirilmiş Tanaka-Webster bağlantısına göre Kenmotsu manifoldları ile ilgili sonuçları kullanıyoruz ve Ricci solitonlarını özel koşullarla sınıflandırıyoruz.
🔬Tür:Literatür & Derleme Çalışması
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Ricci soliton · Kenmotsu manifold · Tanaka-Webster connection

Özet

Bu çalışmada, Kenmotsu manifoldları üzerinde Ricci solitonlarını genelleştirilmiş Tanaka-Webster bağlantısına göre inceliyoruz. Belirli eğrilik koşulları altında potansiyel vektör alanı ile ilgili bir Ricci soliton türü hakkında bazı sonuçlar elde ettik. Ayrıca, literatürdeki genelleştirilmiş Tanaka-Webster bağlantısına göre Kenmotsu manifoldları ile ilgili sonuçları kullanıyoruz ve Ricci solitonlarını özel koşullarla sınıflandırıyoruz.

Abstract

In this paper, we study Ricci solitons on Kenmotsu manifolds with respect to generalized Tanaka-Webster connection. We obtain some results on a type of Ricci solitons related to potential vector field under certain curvature conditions. Also, we use the results on the Kenmotsu manifolds with respect to generalized Tanaka-Webster connection in the literature and we classify Ricci solitons with special conditions.

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Bu Makaleye Atıf Yap

Ünal, İ. (2025). Kenmotsu Ricci Soliton Manifoldları Üzerine Bir Çalışma. Journal of Universal Mathematics, Cilt: 8 Sayı: 2, 150–159. https://doi.org/10.33773/jum.1804823

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