Upper semicontinuity of the dimensions of automorphism groups of domains in $C^n$
| dc.creator | Fridman, Buma L. | |
| dc.creator | Ma, Daowei | |
| dc.creator | Poletsky, Evgeny A. | |
| dc.date | 2002-10-18 | |
| dc.date.accessioned | 2026-07-07T04:52:08Z | |
| dc.date.available | 2026-07-07T04:52:08Z | |
| dc.description | Let $H^n$ be the metric space of all bounded domains in $C^n$ with the metric equal to the Hausdorff distance between boundaries of domains. We prove that the dimension of the group of automorphisms of domains is an upper semicontinuous function on $\H^n$. We also provide theorems and examples regarding the change in topological structure of these groups under small perturbation of a domain in $H^n$. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0210292 | |
| dc.identifier | http://arxiv.org/abs/math/0210292 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65352 | |
| dc.subject | Complex Variables | |
| dc.subject | 32M05; 54H15 | |
| dc.title | Upper semicontinuity of the dimensions of automorphism groups of domains in $C^n$ | |
| dc.type | text |