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Semicontinuity of
automorphism groups of strongly pseudoconvex domains: The low
differentiability case
Robert E. Greene, Kang-Tae Kim, Steven G. Krantz and Aeryeong Seo |
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Vol. 262 (2013), No. 2, 365–395
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Abstract |
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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
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Mathematical Subject Classification 2010
Primary: 32M05
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Milestones
Received: 17 April 2012
Revised: 4 September 2012
Accepted: 8 September 2012
Published: 16 April 2013
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Authors |
| Robert E. Greene | |
| Department of Mathematics University of California Los Angeles, CA 90095 United States |
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| Kang-Tae Kim | |
| Department of Mathematics Pohang University of Science and Technology Pohang 790-784 South Korea |
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| Steven G. Krantz | |
| Department of Mathematics Washington University Campus Box 1146 Saint Louis, MO 63130 United States |
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| Aeryeong Seo | |
| School of Mathematics Korea Institute for Advanced Study Seoul 151 South Korea |
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