Isaev, AlexanderKruzhilin, N G2015-12-132015-12-130008-414Xhttp://hdl.handle.net/1885/91716We classify all connected n-dimensional complex manifolds admitting effective actions of the unitary group Un by biholomorphic transformations. One consequence of this classification is a characterization of ℂn by its automorphism group.Keywords: Complex manifolds; Group actions20022015-12-12