Perturbation of domains and automorphism groups
| dc.creator | Fridman, Buma L. | |
| dc.creator | Ma, Daowei | |
| dc.date | 2002-11-30 | |
| dc.date.accessioned | 2026-07-07T04:53:26Z | |
| dc.date.available | 2026-07-07T04:53:26Z | |
| dc.description | The paper is devoted to the description of changes of the structure of the holomorphic automorphism group of a bounded domain in ${\Bbb C}^n$ under small perturbation of this domain in the Hausdorff metric. We consider a number of examples when an arbitrary small perturbation can lead to a domain with a larger group, present theorems concerning upper semicontinuity property of some invariants of automorphism groups. We also prove that the dimension of an abelian subgroup of the automorphism group of a bounded domain in ${\Bbb C}^n$ does not exceed $n$. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0212005 | |
| dc.identifier | http://arxiv.org/abs/math/0212005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65846 | |
| dc.subject | Complex Variables | |
| dc.subject | 32M05 | |
| dc.title | Perturbation of domains and automorphism groups | |
| dc.type | text |