Classifications of gradient almost Ricci solitons within the framework of closed conformal vector fields
In this paper, we consider gradient almost Ricci solitons with nonparallel closed conformal vector fields. We classify gradient almost Ricci solitons and show that a complete, noncompact gradient almost Ricci soliton admitting a nonparallel closed conformal vector field, is locally a warped product with Einstein fibers, while in the second case, under additional hypothesis, gradient almost Ricci soliton is totally umbilical if and only if it has constant scalar curvature.
Publication Details
- Journal
- TURKISH JOURNAL OF MATHEMATICS
- Published
- 2025-11-12
- DOI
- https://doi.org/10.55730/1300-0098.3620
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00