4 citations · 6 across the 9 of their papers we have counts for
19 papers
A series of integral formulas for a foliated sub-Riemannian manifold
Vladimir Rovenski
In this article, we prove a series of integral formulae for a codimension-one foliated sub-Riemannian manifold, i.e., a Riemannian manifold equipped with a distribution ${\…
On Ricci curvature of metric structures on -manifolds
Vladimir Rovenski, Robert Wolak
We study the properties of Ricci curvature of -manifolds with particular attention paid to higher dimensional abelian Lie algebra case. The relations between Ricci…
On non-gradient -quasi-Einstein contact metric manifolds
Dhriti Sundar Patra, Vladimir Rovenski
Many authors have studied Ricci solitons and their analogs within the framework of (almost) contact geometry. In this article, we thoroughly study the -quasi-Einstein struct…
On the mixed scalar curvature of almost multi-product manifolds
Vladimir Rovenski
A pseudo-Riemannian manifold endowed with orthogonal complementary distributions (called a Riemannian almost multi-product structure) appears in such topics as multiply warpe…
The Einstein-Hilbert type action on almost -product manifolds
Vladimir Rovenski
A Riemannian manifold endowed with orthogonal complementary distributions (called here a Riemannian almost -product structure) appears in such topics as multiply warped pr…
On the Bochner technique for singular distributions
Paul Popescu, Vladimir Rovenski, Sergey Stepanov
In this paper we continue our recent study of a manifold endowed with a singular or regular distribution, determined as the image of the tangent bundle under a smooth endomorphism,…