20 citations · 32 across the 9 of their papers we have counts for
12 papers
Characterization of Sasakian Manifolds by Curvature Conditions
Sourav Nayak, Vladimir Rovenski, Dhriti Sundar Patra
Sasakian manifolds, a subclass of contact metric manifolds, play a central role in modern differential geometry and mathematical physics, where they arise naturally in geometric me…
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…
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…
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…
On the rigidity of the Sasakian structure and characterization of cosymplectic manifolds
Vladimir Rovenski, Dhriti Sundar Patra
We introduce new metric structures on a smooth manifold (called "weak" structures) that generalize the almost contact, Sasakian, cosymplectic, etc. metric structures an…
Geometry of almost contact metrics as almost -Ricci solitons
Dhriti Sundar Patra, Akram Ali, Fatemah Mofarreh
In the present paper, we give some characterizations by considering -Ricci soliton as a Kenmotsu metric. We prove that if a Kenmotsu manifold represents an almost -Ricci soli…