ON ALMOST η-RICCI-BOURGUIGNON SOLITONS
MISKOLC MATHEMATICAL NOTES, cilt.25, sa.1, ss.493-508, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 25 Sayı: 1
- Basım Tarihi: 2024
- Doi Numarası: 10.18514/mmn.2024.4378
- Dergi Adı: MISKOLC MATHEMATICAL NOTES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
- Sayfa Sayıları: ss.493-508
- İstanbul Üniversitesi Adresli: Evet
Özet
We investigate a Riemannian manifold with almost eta-Ricci-Bourguignon soliton structure. We use the Hodge-de Rham decomposition theorem to make a link with the associated vector field of an almost eta-Ricci-Bourguignon soliton. Moreover, we show that a nontrivial, compact almost eta-Ricci-Bourguignon soliton of constant scalar curvature is isometric to the Euclidean sphere. Using some results obtaining from almost eta-Ricci Bourguignon soliton, we give the integral formulas for compact orientable almost eta-Ricci-Bourguignon soliton.