2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59797We 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. mathComplex Variables32Q57, 32M05, 32M17text