4 papers
Automorphism groups of rigid geometries on leaf spaces of foliations
Nina I. Zhukova
We introduce a category of rigid geometries on singular spaces which are leaf spaces of foliations and are considered as leaf manifolds. We single out a special category $\mathfrak…
Attractors of Cartan foliations
Anton S. Galaev, Nina I. Zhukova
The paper is focused on the existence problem of attractors for foliations. Since the existence of an attractor is a transversal property of the foliation, it is natural to conside…
Pseudo-Riemannian foliations and their graphs
N. I. Zhukova, A. Yu. Dolgonosova
We prove that a foliation of codimension on a -dimen\-sio\-nal pseudo-Riemannian manifold is pseudo-Riemannian if and only if any geodesic that is orthogonal at one…
Basic automorphism group of complete Cartan foliations covered by fibration
N. I. Zhukova, K. I. Sheina
We prove a theorem that gives a sufficient condition for the full basic automorphism group of a complete Cartan foliation to admit a unique (finite-dimensional) Lie group structure…