Nowhere minimal CR submanifolds and Levi-flat hypersurfaces

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dc.creatorLebl, Jiri
dc.date2006-06-06
dc.date2007-05-22
dc.date.accessioned2026-07-07T09:56:04Z
dc.date.available2026-07-07T09:56:04Z
dc.descriptionA local uniqueness property of holomorphic functions on real-analytic nowhere minimal CR submanifolds of higher codimension is investigated. A sufficient condition called almost minimality is given and studied. A weaker necessary condition, being contained a possibly singular real-analytic Levi-flat hypersurface is studied and characterized. This question is completely resolved for algebraic submanifolds of codimension 2 and a sufficient condition for noncontainment is given for non algebraic submanifolds. As a consequence, an example of a submanifold of codimension 2, not biholomorphically equivalent to an algebraic one, is given. We also investigate the structure of singularities of Levi-flat hypersurfaces.
dc.description21 pages; conjecture 2.8 was removed in proof; to appear in J. Geom. Anal
dc.identifierhttps://arxiv.org/abs/math/0606141
dc.identifierhttp://arxiv.org/abs/math/0606141
dc.identifierJ. Geom. Anal. 17 (2007), no. 2, 321--342
dc.identifierdoi:10.1007/BF02930726
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166849
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject32V40 (Primary), 32C07
dc.titleNowhere minimal CR submanifolds and Levi-flat hypersurfaces
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