Fibrations and globalizations of compact homogeneous CR-manifolds
| dc.creator | Gilligan, B. | |
| dc.creator | Huckleberry, A. | |
| dc.date | 2007-02-24 | |
| dc.date | 2008-08-16 | |
| dc.date.accessioned | 2026-07-07T09:56:43Z | |
| dc.date.available | 2026-07-07T09:56:43Z | |
| dc.description | Fibrations methods which were previously used for complex homogeneous spaces and CR-homogenous spaces of special types ([HO1], [AHR], [HR],[R]}) are developed in a general framework. These include the $\lie g$-anticanonical fibration in the CR-setting which reduces certain considerations to the compact projective algebraic case where a Borel-Remmert type splitting theorem is proved. This allows a reduction to spaces homogeneous under actions of compact Lie groups. General globalization theorems are proved which allow one to regard the homogeneous CR-manifold as the orbit of a real Lie group in a complex homogeneous space of a complex Lie group. In the special case of CR-codimension at most two precise classification results are proved and are applied to show that in most cases there exists such a globalization. | |
| dc.description | There are new results in section 6 and section 1, the introduction, has been rewritten | |
| dc.identifier | https://arxiv.org/abs/math/0702734 | |
| dc.identifier | http://arxiv.org/abs/math/0702734 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167078 | |
| dc.subject | Complex Variables | |
| dc.subject | 32M10, 32V30 | |
| dc.title | Fibrations and globalizations of compact homogeneous CR-manifolds | |
| dc.type | text |