Characterization of ${\bf C}^n$ by its automorphism group

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dc.creatorIsaev, Alexander
dc.date2000-08-25
dc.date.accessioned2026-07-07T04:36:58Z
dc.date.available2026-07-07T04:36:58Z
dc.descriptionWe 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 ${\bf C}^n$.
dc.descriptionto appear in Proc. Steklov Inst. math
dc.identifierhttps://arxiv.org/abs/math/0008193
dc.identifierhttp://arxiv.org/abs/math/0008193
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59797
dc.subjectComplex Variables
dc.subject32Q57, 32M05, 32M17
dc.titleCharacterization of ${\bf C}^n$ by its automorphism group
dc.typetext

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