Canonical Cartan connection and holomorphic invariants on Engel CR manifolds

Details Canonical Cartan connection and holomorphic invariants on Engel CR manifolds Canonical Cartan connection and holomorphic invariants on Engel CR manifolds

2005-08-04

arxiv.org/abs/math/0508084v1

Mathematics

Complex Variables

Scientific paper

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.

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