3 citations · 8 across the 29 of their papers we have counts for
30 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…
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…
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…
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…
-Ricci solitons and -Einstein metrics 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, which generalize the flow of the Reeb vector field…
Weak quasi contact metric manifolds and new characteristics of K-contact and Sasakian manifolds
Vladimir Rovenski
Quasi contact metric manifolds (introduced by Y. Tashiro and then studied by several authors) are a natural extension of the contact metric manifolds. Weak almost contact metric ma…
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…
Weak Almost Contact Structures: a Survey
Vladimir Rovenski
Weak almost contact manifolds, i.e., the linear complex structure on the contact distribution is replaced by a nonsingular skew-symmetric tensor, defined by the author and R. Wolak…
Godbillon-Vey type functional for almost contact manifolds
Vladimir Rovenski
Many contact metric manifolds are critical points of curvature functionals restricted to spaces of associated metrics. The Godbillon-Vey functional has never been considered in a v…
Characterization of Sasakian manifolds
Vladimir Rovenski
Weak contact metric manifolds, i.e., the linear complex structure on the contact distribution is replaced by a nonsingular skew-symmetric tensor, defined by the author and R. Wolak…
Foliated structure of weak nearly Sasakian manifolds
Vladimir Rovenski
Weak contact metric manifolds, i.e., the linear complex structure on the contact distribution is replaced by a nonsingular skew-symmetric tensor, defined by the author and R. Wolak…
On the splitting of weak nearly cosymplectic manifolds
Vladimir Rovenski
Weak almost contact manifolds, i.e., the linear complex structure on the contact distribution is approximated by a nonsingular skew-symmetric tensor, defined by the author and R. W…
Geometry of a weak para--structure
Vladimir Rovenski
We study geometry of the weak almost para--structure and its subclasses. This allow us to produce totally geodesic foliations and also to take a fresh look at the para--struc…
Einstein-type metrics and generalized Ricci solitons on weak -K-contact manifolds
Vladimir Rovenski
A weak metric -structure , generalizes the metric -structure on a smooth manifold, i.e., the complex structure on the contact distribution is…
Back to almost Ricci solitons
Vladimir Rovenski, Sergey Stepanov, Irina Tsyganok
In the paper, we study complete almost Ricci solitons using the concepts and methods of geometric dynamics and geometric analysis. In particular, we characterize Einstein manifolds…
Generalized Ricci solitons and Einstein metrics on weak -contact manifolds
Vladimir Rovenski
We study metric structures on a smooth manifold (introduced in our recent works and called a weak contact metric structure and a weak K-structure) which generalize the metric conta…
On isometric immersions of sub-Riemannian manifolds
Vladimir Rovenski
We study curvature invariants of a sub-Riemannian manifold (i.e., a manifold with a Riemannian metric on a non-holonomic distribution) related to mutual curvature of several pairwi…
On isometric immersions of almost -product manifolds
Vladimir Rovenski, Pawel Walczak
A Riemannian manifold endowed with complementary pairwise orthogonal distributions is called a Riemannian almost -product manifold. In the article, for the first time, w…