Complex scaling and domains with non-compact automorphism group
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- Title
- Complex scaling and domains with non-compact automorphism group
- Authors
- Kim, KT; Krantz, SG
- Date Issued
- 2001-01
- Publisher
- UNIV ILLINOIS URBANA-CHAMPAIGN
- Abstract
- In this paper we study the boundary orbit accumulation points of smoothly bounded domains in C-2 with non-compact automorphism group. We prove that a boundary orbit accumulation point cannot be exponentially flat. This confirms a version of a conjecture of Greene and Krantz. The proof uses a new result on the a priori convergence of convex scaling methods, which in particular implies the equivalence of two different scaling methods on convex domains.
- Keywords
- CONVEX DOMAINS; PSEUDOCONVEX DOMAINS; FINITE-TYPE; STABILITY; BOUNDARY; CN
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29837
- DOI
- 10.1215/ijm/1258138066
- ISSN
- 0019-2082
- Article Type
- Article
- Citation
- ILLINOIS JOURNAL OF MATHEMATICS, vol. 45, no. 4, page. 1273 - 1299, 2001-01
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