Addendum to our characterization of the unit polydisc

Akio Kodama, Satoru Shimizu

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


In 2008, we obtained an intrinsic characterization of the unit polydisc Δn in Cn from the viewpoint of the holomorphic automorphism group. In connection with this, A. V. Isaev investigated the structure of a complex manifold M with the property that every isotropy subgroup of the holomorphic automorhism group of M is compact, and obtained the same characterization of Δn as ours among the class of all such manifolds. In this paper, we establish some extensions of these results. In particular, Isaev's characterization of the unit polydisc Δn is extended to that of any bounded symmetric domain in Cn.

Original languageEnglish
Pages (from-to)182-191
Number of pages10
JournalKodai Mathematical Journal
Issue number2
Publication statusPublished - 2010


  • Holomorphic automorphism groups
  • Reinhardt domains
  • Torus actions
  • Unit polydisc

ASJC Scopus subject areas

  • Mathematics(all)


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