An intrinsic characterization of the direct product of balls

Akio Kodama, Satoru Shimizu

研究成果: Article査読

2 被引用数 (Scopus)

抄録

In this paper, we give a characterization of the direct product of balls by its holomorphic automorphism group. Using a result on the standardization of certain compact group actions on complex manifolds, we show that, for a connected Stein manifold M of dimension n, if its holomorphic automorphism group contains a topological subgroup that is isomorphic to the holomorphic automorphism group of the direct product B of balls in Cn, then M itself is biholomorphically equivalent to B.

本文言語English
ページ(範囲)619-630
ページ数12
ジャーナルKyoto Journal of Mathematics
49
3
DOI
出版ステータスPublished - 2009

ASJC Scopus subject areas

  • Mathematics(all)

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