Characterizations of Almost Ricci Bourguignon Solitons
Differential Geometry
2025-12-22 v1
Abstract
In this paper, we revisit the study of almost Ricci-Bourguignon solitons by clarifying their position in the broader context of Einstein-type metrics. Motivated by known rigidity results for compact almost Ricci solitons, we aim to identify conditions under which a compact almost RB-soliton is trivial or exhibits special geometric properties. We compare our results with classical theorems of Barros and Ribeiro, and explain explicitly how our work extends or complements these earlier findings.
Cite
@article{arxiv.2512.17704,
title = {Characterizations of Almost Ricci Bourguignon Solitons},
author = {Mohammad Aqib and Hemangi Madhusudan Shah and Dhriti Sundar Patra},
journal= {arXiv preprint arXiv:2512.17704},
year = {2025}
}
Comments
21 pages