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

A study on Kenmotsu Ricci soliton manifolds

Kenmotsu Ricci Soliton Manifoldları Üzerine Bir Çalışma

İnan Ünal(MUNZUR ÜNİVERSİTESİ)0000-0003-1318-9685
Pages
150–159
Publication Date
2025-10-19
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study Ricci solitons on Kenmotsu manifolds with respect to generalized Tanaka-Webster connection.
📊
Key Findings & Data:We obtain some results on a type of Ricci solitons related to potential vector field under certain curvature conditions.
💡
Conclusion & Impact: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.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Ricci soliton · Kenmotsu manifold · Tanaka-Webster connection

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.

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.

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Cite This Article

Ünal, İ. (2025). A study on Kenmotsu Ricci soliton manifolds. Journal of Universal Mathematics, Cilt: 8 Sayı: 2, 150–159. https://doi.org/10.33773/jum.1804823

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