Semicontinuity of automorphism groups of strongly pseudoconvex domains: The low differentiability case

Robert E. Greene; Kang Tae Kim; Steven G. Krantz; Aeryeong Seo

doi:10.2140/pjm.2013.262.365

Semicontinuity of automorphism groups of strongly pseudoconvex domains: The low differentiability case

Robert E. Greene, Kang Tae Kim, Steven G. Krantz, Aeryeong Seo

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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.

Original language	English
Pages (from-to)	365-395
Number of pages	31
Journal	Pacific Journal of Mathematics
Volume	262
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2013.262.365
State	Published - 2013

Keywords

Automorphism group
Bergman metric
Curvature
Extension of holomorphic maps

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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.",

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T2 - The low differentiability case

AU - Greene, Robert E.

AU - Kim, Kang Tae

AU - Krantz, Steven G.

AU - Seo, Aeryeong

PY - 2013

Y1 - 2013

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AB - 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.

KW - Automorphism group

KW - Bergman metric

KW - Curvature

KW - Extension of holomorphic maps

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DO - 10.2140/pjm.2013.262.365

M3 - Article

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EP - 395

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

Semicontinuity of automorphism groups of strongly pseudoconvex domains: The low differentiability case

Abstract

Keywords

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