Characterizations of Almost Ricci Bourguignon Solitons

Mohammad Aqib; Hemangi Madhusudan Shah; Dhriti Sundar Patra

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arXiv · 2512.17704

Characterizations of Almost Ricci Bourguignon Solitons

Mohammad Aqib·Hemangi Madhusudan Shah·Dhriti Sundar Patra

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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.

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Mohammad Aqib, Hemangi Madhusudan Shah, Dhriti Sundar Patra. 2025-12-19. Characterizations of Almost Ricci Bourguignon Solitons. https://arxiv.org/abs/2512.17704

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