3 citations · 8 across the 29 of their papers we have counts for
6 papers · 1 filter
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…
Variations of the mutual curvature of two orthogonal non-complementary distributions
Vladimir Rovenski, Tomasz Zawadzki
On a smooth manifold with distributions and having trivial intersection, we consider the integral of their mutual curvature, as a functional of Riemannian…
On the geometry of a weakened -structure
Vladimir Rovenski
An -structure, introduced by K. Yano in 1963 and subsequently studied by a number of geometers, is a higher dimensional analog of almost complex and almost contact structures, d…
On the rigidity of the Sasakian structure and characterization of cosymplectic manifolds
Vladimir Rovenski, Dhriti Sundar Patra
We introduce new metric structures on a smooth manifold (called "weak" structures) that generalize the almost contact, Sasakian, cosymplectic, etc. metric structures an…
Variational problem on a metric-affine almost product manifold
Vladimir Rovenski, Tomasz Zawadzki
We study a variational problem on a smooth manifold with a decomposition of the tangent bundle into subbundles (distributions), namely, we consider the integrated sum of thei…