A group-theoretic characterization of the direct product of a ball and a Euclidean space

Jisoo Byun, Akio Kodama, Satoru Shimizu

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

Let M be a connected Stein manifold of dimension n. We show that if the holomorphic automorphism group of M is isomorphic to the holomorphic automorphism group of Bk × ℂn-k as topological group, then M itself is biholomorphically equivalent to Bk × ℂn-k, where Bk denotes the open unit ball in ℂk.

Original languageEnglish
Pages (from-to)983-1009
Number of pages27
JournalForum Mathematicum
Volume18
Issue number6
DOIs
Publication statusPublished - 2006 Nov 20

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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