3 citations · 8 across the 29 of their papers we have counts for
7 papers · 1 filter
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…
Applications of Weak Metric Structures to Non-Symmetrical Gravitational Theory
Milan Zlatanović, Vladimir Rovenski
Linear connections satisfying the Einstein metricity condition are important in the study of generalized Riemannian manifolds , where the symmetric part of is a…
Weak Nearly - and Weak Nearly - Manifolds
Vladimir Rovenski
The recent interest of geometers in the -structures of K. Yano is motivated by the study of the dynamics of contact foliations, as well as their applications in theoretical phys…
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…
Weak metric structures on generalized Riemannian manifolds
Vladimir Rovenski, Milan Zlatanović
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…
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…