Explicit construction of a Chern-Moser connection for CR manifolds of codimension two
| dc.creator | Schmalz, Gerd | |
| dc.creator | Spiro, Andrea | |
| dc.date | 2002-09-04 | |
| dc.date | 2004-03-05 | |
| dc.date.accessioned | 2026-07-07T04:50:35Z | |
| dc.date.available | 2026-07-07T04:50:35Z | |
| dc.description | 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 (P, w), consisting of a principal bundle P over M and of a Cartan connection form w on P, satisfying the following property: the (local) CR transformations of M are in one to one correspondence with the (local) automorphisms of P which preserve w. For any point x in M, this construction determines an explicit immersion of the stability subalgebra Lie(aut(M)_x) into the Lie algebra Lie(H) of the structure group H of P. | |
| dc.description | 40 pages - This is a revised version in which a misuse of formula (6.10) of the old version in the following computations has been corrected - the changes starts only from pag. 24 and do not concerns the line of arguments | |
| dc.identifier | https://arxiv.org/abs/math/0209036 | |
| dc.identifier | http://arxiv.org/abs/math/0209036 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64846 | |
| dc.subject | Differential Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | 32V05 (Primary); 53C15; 53A55 (Secondary) | |
| dc.title | Explicit construction of a Chern-Moser connection for CR manifolds of codimension two | |
| dc.type | text |