Characterization of ${\bf C}^n$ by its automorphism group
Abstract
Description
We show that if the group of holomorphic automorphisms of a connected Stein manifold $M$ is isomorphic to that of ${\bf C}^n$ as a topological group equipped with the compact-open topology, then $M$ is biholomorphically equivalent to ${\bf C}^n$.
to appear in Proc. Steklov Inst. math
to appear in Proc. Steklov Inst. math