The main topic of this paper is the study of real-analytic CR-manifolds M with everywhere
degenerate Levi form. In particular, for homogeneous manifolds of this type, we develop …

The classification of CR hypersurfaces M 2 n+ 1⊂ C n+ 1 up to biholomorphic equivalences,
notably the homogeneous ones, is a vast problem, especially in dimension 5, ie for n= 2 …

The model 4-dimensional CR-cubic in ℂ 3 has the following “model” property: it is
(essentially) the unique locally homogeneous 4-dimensional CR-manifold in ℂ 3 with finite …

The algebra of differential invariants under $ SA_3 (\mathbb {R}) $ of generic parabolic
surfaces $ S^ 2\subset\mathbb {R}^ 3$ with nonvanishing Pocchiola $4^{\text {th}} …

Abstract Holomorphically homogeneous Cauchy–Riemann (CR) real hypersurfaces were
classified by Élie Cartan in 1932. In the next dimension, we complete the classification of …

Strictly pseudoconvex non-spherical hypersurfaces in 3-dimensional complex space that are
homogeneous with respect to local Lie groups of holomorphic transformations are studied …

В 1932 г. Э. Картаном в [1] было дано полное описание вещественных
гиперповерхностей двумерных комплексных пространств, допускающих транзитивные …

Во многих разделах современной математики возникают задачи, связанные с
описанием многообразий, однородных относительно действий различных групп …

We consider Levi non-degenerate tube hypersurfaces in complex linear space which are"
spherical", that is, locally CR-equivalent to the real hyperquadric. Spherical hypersurfaces …

Изучение свойств границ многомерных комплексных областей и, более широко,
вещественных гиперповерхностей многомерных комплексных пространств является …