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Characterization of the unit ball in Cⁿ among complex manifolds of dimensionn

Isaev, A. V.


We show that if the group of holomorphic automorphisms of a connected complex manifold M of dimension n is isomorphic as a topological group equipped with the compact-open topology to the automorphism group of the unit ball Bⁿ ⊂ ℂⁿ ,then M is biholomorphically equivalent to Bⁿ.

CollectionsANU Research Publications
Date published: 2004-12
Type: Journal article
Source: Journal of Geometric Analysis
DOI: 10.1007/BF02922176


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