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