Canonical Cartan Connection and Holomorphic Invariants on Engel CR Manifolds

V K Beloshapka; V Ezhov; Gerd Schmalz

Canonical Cartan Connection and Holomorphic Invariants on Engel CR Manifolds

V K Beloshapka
, V Ezhov
, Gerd Schmalz

Mathematics

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	121-133
Journal	Russian Journal of Mathematical Physics
Volume	14
Issue number	2
Publication status	Published - 2007

Keywords

Ordinary Differential Equations, Difference Equations and Dynamical Systems

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title = "Canonical Cartan Connection and Holomorphic Invariants on Engel CR Manifolds",

abstract = "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.",

keywords = "Ordinary Differential Equations, Difference Equations and Dynamical Systems",

author = "Beloshapka, \{V K\} and V Ezhov and Gerd Schmalz",

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AU - Beloshapka, V K

AU - Ezhov, V

AU - Schmalz, Gerd

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Y1 - 2007

N2 - 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.

AB - 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.

KW - Ordinary Differential Equations, Difference Equations and Dynamical Systems

UR - http://arxiv.org/PS_cache/math/pdf/0508/0508084v1.pdf

M3 - Article

SN - 1061-9208

VL - 14

SP - 121

EP - 133

JO - Russian Journal of Mathematical Physics

JF - Russian Journal of Mathematical Physics

IS - 2

ER -

Canonical Cartan Connection and Holomorphic Invariants on Engel CR Manifolds

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