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math.DG2025
Geometry of weak metric -manifolds: a survey
Vladimir Rovenski
A weak -structure on a smooth manifold, introduced by the author and R. Wolak (2022), generalizes K. Yano's (1961) -structure. This generalization allows us to revisit classi…
math.DG2024
Geometric inequalities for CR-submanifolds
Mirjana Djorić, Vladimir Rovenski
We study two kinds of curvature invariants of Riemannian manifold equip\-ped with a complex distribution (for example, a CR-submanifold of an almost Hermitian manifold) related…
math.DG2022
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…