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
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article

Classifications of gradient almost Ricci solitons within the framework of closed conformal vector fields

TURKISH JOURNAL OF MATHEMATICS
Geometric Analysis and Curvature Flows
article

Classifications of gradient almost Ricci solitons within the framework of closed conformal vector fields

article en

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.

TURKISH JOURNAL OF MATHEMATICSVol. 49(6)
Openalex Percentile: Top 26%
Geometric Analysis and Curvature Flows
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Classifications of gradient almost Ricci solitons within the framework of closed conformal vector fields · TURKISH JOURNAL OF MATHEMATICS (2025) | TGRS Research Map | TGRS