18 citations · 72 across the 36 of their papers we have counts for
4 papers · 1 filter
On the partial Ricci curvature of foliations
Vladimir Rovenski
We consider a problem of prescribing the partial Ricci curvature on a locally conformally flat manifold endowed with the complementary orthogonal distributions and…
Extrinsic geometric flows on foliated manifolds, II
Vladimir Rovenski, Pawel Walczak
Extrinsic Geometric Flow (EGF) for a codimension-one foliation has been recently introduced by authors as deformations of Riemannian metrics subject to quantities expressed in term…
On surfaces with a prescribed curvilinear projection of one field of principal directions
Vladimir Rovenski, Leonid Zelenko
A class of surfaces-graphs in a Riemannian 3-space with a prescribed projection of one field of principal directions onto a surface is considered. A problem of determination of…
Extrinsic geometric flows on foliated manifolds, I
Vladimir Rovenski, Pawel Walczak
We study deformations of Riemannian metrics on a given manifold equipped with a codimension-one foliation subject to quantities expressed in terms of its second fundamental form. W…