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

Author:
Byun, Jisoo   Kodama, Akio   Shimizu, Satoru  


Journal:
Forum Mathematicum


Issue Date:
2006


Abstract(summary):

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 x Cn-k as topological group, then M itself is biholomorphically equivalent to B-k x Cn-k, where B-k denotes the open unit ball in C-k.


Page:
983---1009


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