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Jisoo Byun, Akio Kodama, Satoru Shimizu

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

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 B^k × ℂ^n–k as topological group, then M itself is biholomorphically equivalent to B^k × ℂ^n–k, where B^k denotes the open unit ball in ℂ^k.

Forum Mathematicum, Walter de Gruyter

Print ISSN: 0933-7741
Volume: 18, 11/2006
Pages: 983 - 1009

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