On nonimbeddability of Hartogs figures into complex manifolds

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dc.creatorChirka, E.
dc.creatorIvashkovich, S.
dc.date2004-04-16
dc.date.accessioned2026-07-07T05:07:29Z
dc.date.available2026-07-07T05:07:29Z
dc.descriptionWe propose a method to construct examples of strange imbeddings of Hartogs figures into complex manifolds. It gives an imbedding of a "thin" Hartogs figure which does not have any neighborhood biholomorphic to an open set in a Stein manifold, thus unswering a question of E. Poletsky. Then we give an example of a foliated manifold which does not admit any nontrivial imbeddings of a "thick" (i.e. usual) Hartogs figure, giving thus a counterexample to some "selfevident" statements used in foliation theory.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0404290
dc.identifierhttp://arxiv.org/abs/math/0404290
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70874
dc.subjectComplex Variables
dc.subjectDynamical Systems
dc.subject32E99, 32L99, 37F75
dc.titleOn nonimbeddability of Hartogs figures into complex manifolds
dc.typetext

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