Some Characterizations on Gradient Almost r]-Ricci-Bourguignon Solitons
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, cilt.43, 2025 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43
- Basım Tarihi: 2025
- Doi Numarası: 10.5269/bspm.70710
- Dergi Adı: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
- İstanbul Üniversitesi Adresli: Evet
Özet
We characterize a Riemannian manifold with gradient almost eta-Ricci-Bourguignon solitons structures. We show that a gradient almost eta-Ricci-Bourguignon soliton is gradient (- omega 1 u)-almost traceless Ricci soliton with the potential function k. Moreover, we investigate that a gradient (- omega 1u )-almost traceless Ricci soliton is isometric to a standard unit sphere Sn, hyperbolic space Hn and Euclidean space Rn with constant scalar curvature or its associated vector field is conformal. Finally, we deduce some properties of integral formulas for the gradient compact case.