ON ALMOST η-RICCI-BOURGUIGNON SOLITONS
MISKOLC MATHEMATICAL NOTES, vol.25, no.1, pp.493-508, 2024 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 25 Issue: 1
- Publication Date: 2024
- Doi Number: 10.18514/mmn.2024.4378
- Journal Name: MISKOLC MATHEMATICAL NOTES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
- Page Numbers: pp.493-508
- Istanbul University Affiliated: Yes
Abstract
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.