33 citations · 67 across the 11 of their papers we have counts for
11 papers
On the classificarion of 3-dimensional spherical Sasakian manifolds
Daniel Sykes, Gerd Schmalz, Vladimir Ezhov
In this article we consider spherical hypersurfaces in with a fixed Reeb vector field as 3-dimensional Sasakian manifolds. We establish the correspondence between thr…
Classification of homogeneous affine tube domains with large automorphism groups in arbitrary dimensions
Vladimir Ezhov, Alexandr Medvedev, Gerd Schmalz
We classify tube domains in () with affinely homogeneous base of their boundary and a.) with positive definite Levi form and b.) with Lorentzian type Levi…
Explicit description of spherical rigid hypersurfaces in C^2
Vladimir Ezhov, Gerd Schmalz
We provide an explicit description of all rigid hypersurfaces that are equivalent to a Heisenberg sphere. These hypersurfaces are determined by 4 real parameters. The defining equa…
Elliptic CR-manifolds and shear invariant ODE with additional symmetries
Vladimir Ezhov, Gerd Schmalz
We classify the ODEs that correspond to elliptic CR-manifolds with maximal isotropy. It follows that the dimension of the isotropy group of an elliptic CR-manifold can be only 10 (…
Canonical Cartan connection and holomorphic invariants on Engel CR manifolds
Valerii Beloshapka, Vladimir Ezhov, Gerd Schmalz
We describe a complete system of invariants for 4-dimensional CR manifolds of CR dimension 1 and codimension 2 with Engel CR distribution by constructing an explicit canonical Cart…
Towards a Classification of Homogeneous Tube Domains in C^4
Michael Eastwood, Vladimir Ezhov, Alexander Isaev
We classify the tube domains in C^4 with affinely homogeneous base whose boundary contains a non-degenerate affinely homogeneous hypersurface. It follows that these domains are hol…