SEMICONTINUITY OF AUTOMORPHISM GROUPS OF STRONGLY PSEUDOCONVEX DOMAINS: THE LOW DIFFERENTIABILITY CASE
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SCOPUS
- Title
- SEMICONTINUITY OF AUTOMORPHISM GROUPS OF STRONGLY PSEUDOCONVEX DOMAINS: THE LOW DIFFERENTIABILITY CASE
- Authors
- Greene, RE; Kim, KT; Krantz, SG; Seo, A
- Date Issued
- 2013-04
- Publisher
- PACIFIC JOURNAL MATHEMATICS
- Abstract
- We study the semicontinuity of automorphism groups for perturbations of domains in complex space or in complex manifolds. We provide a new approach to the study of such results for domains having minimal boundary smoothness. The emphasis in this study is on the low differentiability assumption and the new methodology developed accordingly.
- Keywords
- automorphism group; Bergman metric; curvature; extension of holomorphic maps; BERGMAN-KERNEL; BIHOLOMORPHIC-MAPPINGS; BOUNDARY-BEHAVIOR; CONVEX DOMAINS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/13649
- DOI
- 10.2140/PJM.2013.262.365
- ISSN
- 0030-8730
- Article Type
- Article
- Citation
- PACIFIC JOURNAL OF MATHEMATICS, vol. 262, no. 2, page. 365 - 395, 2013-04
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