33 citations · 36 across the 8 of their papers we have counts for
8 papers
Orbits of Exceptional CR Quadrics and Their Variations
V. K. Beloshapka
The orbits of exceptional CR-quadrics are studied. It is proved that the orbit of the exceptional (4,4)-quadric constructed in [1] is isolated. Using the algebraization procedure d…
On Exceptional CR-Quadrics: Further Developments
V. K. Beloshapka
Exceptional CR-quadrics are studied. An example of an exceptional (4,4)-quadric is constructed; it realizes the minimum exceptional type with respect to both n and k. Its graded Li…
Associative algebras in -geometry
Valerii Beloshapka
A procedure for the algebraization of a -manifold and its holomorphic automorphisms is described. Examples of the application of algebraization are considered. Questions arisin…
Model CR surfaces: weighted approach
V. K. Beloshapka
In the paper, a systematic construction of the theory of "weighted" model surfaces is given. This construction is based on the notion of the Bloom-Graham-Stepanova type. The key in…
On special quadrics
V. K. Beloshapka
It is proved that the graded Lie algebras of infinitesimal holomorphic automorphisms of nondegenerate quadric of codimension k do not have nonzero graded components of weight great…
On the group of holomorphic automorphisms of model surfaces
V. K. Beloshapka
It is proved that the group of holomorphic automorphisms of holomorphically homogeneous nondegenerate (finite Bloom-Graham type + holomorphic nondegenaracy) model surface Q is a su…
Classification of homogeneous CR-manifolds in dimension 4
V. K. Beloshapka, I. G. Kossovskiy
Locally homogeneous CR-manifolds in dimension 3 were classified, up to local CR-equivalence, by E.Cartan. We classify, up to local CR-equivalence, all locally homogeneous CR-manifo…
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…