On almost η-Ricci-Bourguignon solitons

Moctar Traore; Hakan Mete Taştan; Sibel Gerdan Aydın;


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.

Vol. 25 (2024), No. 1, pp. 493-508

Download: MMN-4378