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A group-theoretic characterization of the direct product of a ball and a Euclidean space
-
Jisoo Byun
,
Akio Kodama
Published/Copyright:
February 27, 2007
Abstract
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 Bk × ℂn–k as topological group, then M itself is biholomorphically equivalent to Bk × ℂn–k, where Bk denotes the open unit ball in ℂk.
Received: 2004-10-06
Accepted: 2005-06-19
Published Online: 2007-02-27
Published in Print: 2006-11-20
© Walter de Gruyter
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Articles in the same Issue
- A summation formula for divisor functions associated to lattices
- On a relative Alexandrov-Fenchel inequality for convex bodies in Euclidean spaces
- Cohomology of harmonic forms on Riemannian manifolds with boundary
- On the structure and characters of weight modules
- On the vanishing of Ext over formal triangular matrix rings
- Homotopy localization of groupoids
- A group-theoretic characterization of the direct product of a ball and a Euclidean space
- Degree-regular triangulations of the double-torus
- Generalized E-algebras over valuation domains
