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math.DG2026
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…
math.DG2026
Einstein connection of nonsymmetric pseudo-Riemannian manifold
Vladimir Rovenski, Milan Zlatanović
A.Einstein considered a linear connection with torsion on a smooth manifold equipped with a nonsymmetric (0,2)-tensor , where is a pseudo-Riemannian metric…
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…