Explicit construction of a Chern-Moser connection for CR manifolds of codimension two

Title
Explicit construction of a Chern-Moser connection for CR manifolds of codimension two
Publication Date
2006
Author(s)
Spiro, A
Schmalz, G
( author )
OrcID: https://orcid.org/0000-0002-6141-9329
Email: schmalz@une.edu.au
UNE Id une-id:schmalz
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Springer
Place of publication
Germany
DOI
10.1007/s10231-005-0156-6
UNE publication id
une:119
Abstract
In the present paper we suggest an explicit construction of a Cartan connection for an elliptic or hyperbolic CR manifold M of dimension six and codimension two, i.e. a pair, consisting of a principal bundle over M and of a Cartan connection form over P, satisfying the following property: the (local) CR transformations are in one to one correspondence with the (local) automorphisms for which. For any, this construction determines an explicit monomorphism of the stability subalgebra Lie (Aut(M)x) into the Lie algebra of the structure group H of P.
Link
Citation
Annali di Matematica Pura ed Applicata, 185(3), p. 337-379
ISSN
1618-1891
0373-3114
Start page
337
End page
379

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