arXiv subjects

Valerii Beloshapka

Publications and source records attributed to Valerii Beloshapka.

2 recordsLinked to original sources

arXiv2026

Associative algebras in $CR$-geometry

A procedure for the algebraization of a $CR$-manifold and its holomorphic automorphisms is described. Examples of the application of algebraization are considered. Questions arising in connection with the algebraization of a $CR$-manifold are formulated. The possibilities of extending this procedure to other branches of geometry and analysis are discussed.

math.CV↗

arXiv2005

Canonical Cartan connection and holomorphic invariants on Engel CR manifolds

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 Cartan connection. We also investigate the relation between the Cartan connection and the normal form of the defining equation of an embedded Engel CR manifold.

math.CV↗