I. Kossovskiy

activity

20092026

most citedA complete normal form for everywhere Levi degenerate hypersurfaces in

C^{3}

3 citations · 17 across the 20 of their papers we have counts for

collaborators

Showing 2019 · math.CVShow all

3 papers · 2 filters

math.CV2019★ 3 cited

Classification of homogeneous strictly pseudoconvex hypersurfaces in $C^{3}$

Ilya Kossovskiy, Alexander Loboda

Locally homogeneous strictly pseudoconvex hypersurfaces in $C^{2}$ were classified by E.\,Cartan in 1932. In this work, we complete the classification of locally homogeneous…

math.CV2019

Real-analytic coordinates for smooth strictly pseudoconvex CR-structures

Ilya Kossovskiy, Dmitri Zaitsev

For a smooth strictly pseudoconvex hypersurface in a complex manifold, we give a necessary and sufficient condition for being CR-diffeomorphic to a real-analytic CR manifold. Our c…

math.CV2019★ 3 cited

A complete normal form for everywhere Levi degenerate hypersurfaces in $C^{3}$

Martin Kolar, Ilya Kossovskiy

$2$ -nondegenerate real hypersurfaces in complex manifolds play an important role in CR-geometry and the theory of Hermitian Symmetric Domains. In this paper, we construct a complet…

Classification of homogeneous strictly pseudoconvex hypersurfaces in C3

Real-analytic coordinates for smooth strictly pseudoconvex CR-structures

A complete normal form for everywhere Levi degenerate hypersurfaces in C3

Classification of homogeneous strictly pseudoconvex hypersurfaces in $C^{3}$

A complete normal form for everywhere Levi degenerate hypersurfaces in $C^{3}$