Riemann minimal surfaces in higher dimensions

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dc.creatorKaabachi, S.
dc.creatorPacard, F.
dc.date2006-03-28
dc.date.accessioned2026-07-07T07:07:18Z
dc.date.available2026-07-07T07:07:18Z
dc.descriptionWe prove the existence of a one parameter family of minimal embedded hypersurfaces in $R^{n+1}$, for $n \geq 3$, which generalize the well known 2 dimensional "Riemann minimal surfaces". The hypersurfaces we obtain are complete, embedded, simply periodic hypersurfaces which have infinitely many parallel hyperplanar ends. By opposition with the 2-dimensional case, they are not foliated by spheres.
dc.identifierhttps://arxiv.org/abs/math/0603662
dc.identifierhttp://arxiv.org/abs/math/0603662
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110341
dc.subjectDifferential Geometry
dc.subject53A07; 53A10
dc.titleRiemann minimal surfaces in higher dimensions
dc.typetext

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