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math.DG2025
Characterizations of Almost Ricci Bourguignon Solitons
Mohammad Aqib, Hemangi Madhusudan Shah, Dhriti Sundar Patra
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 r…
math.DG2025
Characterizations of weak almost -manifolds with curvature properties
Sourav Nayak, Dhriti Sundar Patra, Vladimir Rovenski
Weak metric structures, introduced by Rovenski and Wolak in 2022, extend Yano's -structure and almost contact metric structure. In this paper, we investigate curvature phenomena…