11 papers
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…
Einstein connection of nonsymmetric pseudo-Riemannian manifold
Vladimir Rovenski, Milan ZlatanoviÄ
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…
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…
Bochner's technique in Einstein's non-symmetric geometry
Vladimir Rovenski
A. Einstein considered a manifold with a non-symmetric (0,2)-tensor , where is a Riemannian metric and , and a connection with torsion such that $(\n…
Weak metric structures on generalized Riemannian manifolds
Vladimir Rovenski, Milan ZlatanoviÄ
In the paper, we first study more general models, where has constant rank and is based on weak metric structures (introduced by the first author and R. Wolak), which generalize…
--Ricci solitons on weak Kenmotsu -manifolds
Vladimir Rovenski
Recent interest among geometers in -structures of K. Yano is due to the study of topology and dynamics of contact foliations and generalized A. Weinstein conjectures. Weak metri…