Synectic lift metrics on tangent bundles: exploring soliton structures and gradient variants

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Bilen L., GEZER A., Velioğlu H. V.

Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica, cilt.71, sa.1, ss.59-69, 2025 (Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 71 Sayı: 1
• Basım Tarihi: 2025
• Doi Numarası: 10.47743/anstim.2025.00005
• Dergi Adı: Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
• Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, zbMATH
• Sayfa Sayıları: ss.59-69
• Anahtar Kelimeler: generalized gradient Ricci-Yamabe soliton, generalized Ricci-Yamabe soliton, gradient Ricci soliton, Ricci soliton, synectic lift metric, tangent bundle
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Atatürk Üniversitesi Adresli: Evet

Özet

Let TM be the tangent bundle with the synectic lift on the n-dimensional Riemannian manifold M. The objective of this article is to investigate the properties of Ricci soliton and generalized Ricci-Yamabe soliton structures according to the synectic lift metric on the tangent bundle TM. Furthermore, the properties of the gradient Ricci soliton and the generalized gradient Ricci-Yamabe soliton are also investigated in this article.