Canonical Cartan connection and holomorphic invariants on Engel CR manifolds
Complex Variables
2015-02-13 v1 Differential Geometry
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
Cite
@article{arxiv.math/0508084,
title = {Canonical Cartan connection and holomorphic invariants on Engel CR manifolds},
author = {Valerii Beloshapka and Vladimir Ezhov and Gerd Schmalz},
journal= {arXiv preprint arXiv:math/0508084},
year = {2015}
}