Levi umbilical surfaces in complex space

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dc.creatorMonti, R.
dc.creatorMorbidelli, D.
dc.date2005-12-14
dc.date.accessioned2026-07-07T08:07:25Z
dc.date.available2026-07-07T08:07:25Z
dc.descriptionWe define a complex connection on a real hypersurface of $\C^{n+1}$ which is naturally inherited from the ambient space. Using a system of Codazzi-type equations, we classify connected real hypersurfaces in $\C^{n+1}$, $n\ge 2$, which are Levi umbilical and have non zero constant Levi curvature. It turns out that such surfaces are contained either in a sphere or in the boundary of a complex tube domain with spherical section.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0512330
dc.identifierhttp://arxiv.org/abs/math/0512330
dc.identifierJ. reine angew. Math. 603 (2007) 113-131
dc.identifierdoi:10.1515/CRELLE.2007.013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130937
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subject32V40
dc.titleLevi umbilical surfaces in complex space
dc.typetext

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