CR-manifolds of dimension 5: A Lie algebra approach

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dc.creatorFels, Gregor
dc.creatorKaup, Wilhelm
dc.date2005-08-01
dc.date.accessioned2026-07-07T05:22:07Z
dc.date.available2026-07-07T05:22:07Z
dc.descriptionWe study real-analytic Levi degenerate hypersurfaces M in complex manifolds of dimension 3, for which the CR-automorphism group Aut(M) is a real Lie group acting transitively on M. We provide large classes of examples for such M, compute the corresponding groups Aut(M) and determine the maximal subsets of M that cannot be separated by global continuous CR-functions. It turns out that all our examples, although partly arising in different contexts, are locally CR-equivalent to the tube over the future light cone in 3-dimensional space-time.
dc.identifierhttps://arxiv.org/abs/math/0508011
dc.identifierhttp://arxiv.org/abs/math/0508011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75940
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject17C50; 32M15; 32M25; 32V10; 32V25
dc.titleCR-manifolds of dimension 5: A Lie algebra approach
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