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.
|Number of pages||27|
|Publication status||Published - 2006 Nov 20|
ASJC Scopus subject areas
- Applied Mathematics