3 papers
math.DG2026
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…
math.DG2026
On the splitting of weak nearly -manifolds
Sourav Nayak, Dhriti Sundar Patra, Vladimir Rovenski
The interest of mathematicians in metric -manifolds, in particular, almost contact metric manifolds, is motivated by the study of the geometry and dynamics of contact foliations…
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…