Stably-interior points and the Semicontinuity of the Automorphism group
SCIE
SCOPUS
- Title
- Stably-interior points and the Semicontinuity of the Automorphism group
- Authors
- Greene, RE; Kim, KT
- Date Issued
- 2014-08
- Publisher
- SPRINGER HEIDELBERG
- Abstract
- We present the new semicontinuity theorem for automorphism groups: If a sequence {Ωj } of bounded pseudoconvex domains in ℂ2 converges to Ω0 in C∞-topology, whereΩ0 is a bounded pseudoconvex domain in ℂ2 with its boundary ℂ∞ and of theD’Angelo finite type and with Aut (Ω0) compact, then there is an integer N > 0 such that, for every j > N, there exists an injective Lie group homomorphism ψj : Aut (Ωj) → Aut (Ω0). The method of our proof of this theorem is new that it simplifies the proof of the earlier semicontinuity theorems for bounded strongly pseudoconvex domains.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/13650
- DOI
- 10.1007/S00209-014-1284-8
- ISSN
- 0025-5874
- Article Type
- Article
- Citation
- MATHEMATISCHE ZEITSCHRIFT, vol. 277, no. 3-4, page. 909 - 916, 2014-08
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.