Homogeneous Levi degenerate CR-manifolds in dimension 5
| dc.creator | Fels, Gregor | |
| dc.creator | Kaup, Wilhelm | |
| dc.date | 2006-02-01 | |
| dc.date.accessioned | 2026-07-07T07:03:03Z | |
| dc.date.available | 2026-07-07T07:03:03Z | |
| dc.description | We investigate CR-manifolds which are tubes M:= F x iV over general bases F in a real vector space V and characterize the k-nondegeneracy of M in terms of the real affine geometry of F. We give a method for an explicit computation of the Lie algebra hol(M,a) of all local infinitesimal CR-transformations at a and use these local invariants to establish the CR-inequivalence of certain families of CR-manifolds. In dimension 5 we present, apart from the well known tube over the future light cone, new examples of 2-nondegenerate homogeneous CR-manifolds that are mutually locally CR-inequivalent. | |
| dc.identifier | https://arxiv.org/abs/math/0602030 | |
| dc.identifier | http://arxiv.org/abs/math/0602030 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108824 | |
| dc.subject | Complex Variables | |
| dc.subject | 32M17;32M25;32V25 | |
| dc.title | Homogeneous Levi degenerate CR-manifolds in dimension 5 | |
| dc.type | text |