4 citations · 7 across the 13 of their papers we have counts for
7 papers · 1 filter
Deforming convex bodies in Minkowski geometry
Vladimir Rovenski, Pawel Walczak
We introduce and study deformation of Minkowski norms in , determined by a set of linearly independent 1-forms and a smooth…
Variations of the Godbillon--Vey invariant of transversely parallelizable foliations
Vladimir Rovenski, Paweł Walczak
We consider a -dimensional smooth manifold equipped with a -dimensional, a priori non-integrable, distribution and a -vector field ${\bf T}=T_1\wed…
On the Betti and Tachibana numbers of compact Einstein manifolds
Vladimir Rovenski, Sergey Stepanov, Irina Tsyganok
Throughout the history of Einstein manifolds, differential geometers have shown great interest in finding the relationships between curvature and the topology of Einstein manifolds…
The Bourguignon Laplacian and harmonic symmetric bilinear forms
Vladimir Rovenski, Sergey Stepanov, Irina Tsyganok
The theory of harmonic symmetric bilinear forms on a Riemannian manifold is an analogue of the theory of harmonic exterior differential forms on this manifold. To show this, we mus…
An integral formula for a pair of singular distributions
Paul Popescu, Vladimir Rovenski
The paper is devoted to differential geometry of singular distributions (i.e., of varying dimension) on a Riemannian manifold. Such distributions are defined as images of the tange…
The Partial Ricci Flow on -foliations
Vladimir Rovenski, Robert Wolak
In the paper we introduce new metric structures on -foliations that are less rigid than the well-known structures: almost contact and 3-quasi-Sasakian structures as w…