Examples of domains with non-compact automorphism groups

Siqi Fu, A. V. Isaev, S. G. Krantz

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

We give an example of a bounded, pseudoconvex, circular domain in Cℂn for any n ≥ 3 with smooth real-analytic boundary and non-compact automorphism group, which is not biholomorphically equivalent to any Reinhardt domain. We also give an analogous example in ℂ2, where the domain is bounded, non-pseudoconvex and such that the boundary is smooth real-analytic at all points except one and is C1,α-smooth at the exceptional point.

Original languageEnglish (US)
Pages (from-to)609-617
Number of pages9
JournalMathematical Research Letters
Volume3
Issue number5
DOIs
StatePublished - Jan 1 1996
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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