| dc.contributor.author | Mohammed Guediri | |
| dc.contributor.author | Norah Alshehri | |
| dc.contributor.other | Department of Mathematics, College of Science, King Saud University, P.O. Box-2455, Riyadh 11451, Saudi Arabia | |
| dc.contributor.other | Department of Mathematics, College of Science, King Saud University, P.O. Box-2455, Riyadh 11451, Saudi Arabia | |
| dc.date.accessioned | 2025-08-27T02:32:22Z | |
| dc.date.accessioned | 2025-10-08T09:09:39Z | |
| dc.date.available | 2025-10-08T09:09:39Z | |
| dc.date.issued | 01-06-2025 | |
| dc.identifier.uri | https://www.aimspress.com/article/doi/10.3934/math.2025608 | |
| dc.identifier.uri | http://digilib.fisipol.ugm.ac.id/repo/handle/15717717/39069 | |
| dc.description.abstract | Considering an almost Ricci soliton (ARS) $ \left(N, g, \eta, \kappa \right) $ on a compact Riemannian manifold $ (N, g) $, we use the Ricci curvature in the direction of the potential vector field $ \eta $ to derive necessary and sufficient conditions for $ (N, g) $ to be isometric to a sphere. This expands on several recent results regarding Ricci solitons and almost Ricci solitons by applying specific integral inequalities involving the Ricci curvature evaluated in the direction $ \eta $. Furthermore, we present conditions under which $ \eta $ is either Killing or parallel; in particular, the ARS is trivial. | |
| dc.language.iso | EN | |
| dc.publisher | AIMS Press | |
| dc.subject.lcc | Mathematics | |
| dc.title | Rigidity of almost Ricci solitons on compact Riemannian manifolds | |
| dc.type | Article | |
| dc.description.keywords | almost ricci solitons | |
| dc.description.keywords | compact riemannian manifolds | |
| dc.description.keywords | ricci and scalar curvatures | |
| dc.description.pages | 13524-13539 | |
| dc.description.doi | 10.3934/math.2025608 | |
| dc.title.journal | AIMS Mathematics | |
| dc.identifier.e-issn | 2473-6988 | |
| dc.identifier.oai | oai:doaj.org/journal:801aac247b6b44ed934b45c1c9287675 | |
| dc.journal.info | Volume 10, Issue 6 | |
