Turkish Journal of Mathematics
Author ORCID Identifier
AKRAM ALI: 0000-0002-6053-3031
FATEMAH MOFARREH: 0000-0002-2116-7382
JAE LEE: 0000-0001-8562-0767
Abstract
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.
DOI
10.55730/1300-0098.3620
Keywords
Gradient almost Ricci soliton, conformal vector field, harmonic Weyl curvature, conformally flat
First Page
714
Last Page
726
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
ALI, A, MOFARREH, F, & LEE, J. W (2025). Classifications of gradient almost Ricci solitons within the framework of closed conformal vector fields. Turkish Journal of Mathematics 49 (6): 714-726. https://doi.org/10.55730/1300-0098.3620
