Invariants of elliptic and hyperbolic CR-structures of codimension 2
| dc.creator | Ezhov, V. V. | |
| dc.creator | Isaev, A. V. | |
| dc.creator | Schmalz, G. | |
| dc.date | 1998-04-09 | |
| dc.date.accessioned | 2026-07-07T05:24:22Z | |
| dc.date.available | 2026-07-07T05:24:22Z | |
| dc.description | We reduce CR-structures on smooth elliptic and hyperbolic manifolds of CR-codimension 2 to parallelisms thus solving the problem of global equivalence for such manifolds. The parallelism that we construct is defined on a sequence of two principal bundles over the manifold, takes values in the Lie algebra of infinitesimal automorphisms of the quadric corresponding to the Levi form of the manifold, and behaves ``almost'' like a Cartan connection. The construction is explicit and allows us to study the properties of the parallelism as well as those of its curvature form. It also leads to a natural class of ``semi-flat'' manifolds for which the two bundles reduce to a single one and the parallelism turns into a true Cartan connection. In addition, for real-analytic manifolds we describe certain local normal forms that do not require passing to bundles, but in many ways agree with the structure of the parallelism. | |
| dc.description | 42 pages, see also http://wwwmaths.anu.edu.au/research.reports/97mrr.html | |
| dc.identifier | https://arxiv.org/abs/math/9804053 | |
| dc.identifier | http://arxiv.org/abs/math/9804053 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76812 | |
| dc.subject | Complex Variables | |
| dc.subject | 32C05 | |
| dc.title | Invariants of elliptic and hyperbolic CR-structures of codimension 2 | |
| dc.type | text |