A study on Kenmotsu Ricci soliton manifolds

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.

Keywords

• Ricci soliton
• Kenmotsu manifold
• Tanaka-Webster connection

Kenmotsu Ricci Soliton Manifoldları Üzerine Bir Çalışma

Abstract

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.

Keywords

• Ricci soliton
• Kenmotsu manifold
• Tanaka-Webster connection

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