Proper actions of high-dimensional groups on complex manifolds
| dc.creator | Isaev, A. V. | |
| dc.date | 2006-10-10 | |
| dc.date | 2007-10-15 | |
| dc.date.accessioned | 2026-07-07T08:36:06Z | |
| dc.date.available | 2026-07-07T08:36:06Z | |
| dc.description | We explicitly classify all pairs $(M,G)$, where $M$ is a connected complex manifold of dimension $n\ge 2$ and $G$ is a connected Lie group acting properly and effectively on $M$ by holomorphic transformations and having dimension $d_G$ satisfying $n^2+2\le d_G<n^2+2n$. These results extend -- in the complex case -- the classical description of manifolds admitting proper actions of groups of sufficiently high dimensions. They also generalize some of the author's earlier work on Kobayashi-hyperbolic manifolds with high-dimensional holomorphic automorphism group. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/0610311 | |
| dc.identifier | http://arxiv.org/abs/math/0610311 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139955 | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.subject | 32Q57; 32M10; 54H15 | |
| dc.title | Proper actions of high-dimensional groups on complex manifolds | |
| dc.type | text |