Characterization of the unit ball in Cⁿ among complex manifolds of dimensionn
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.
|Collections||ANU Research Publications|
|Source:||Journal of Geometric Analysis|
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