Minimal hypersurfaces with zero Gauss-Kronecker curvature

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dc.creatorHasanis, T.
dc.creatorSavas-Halilaj, A.
dc.creatorVlachos, T.
dc.date2004-11-29
dc.date.accessioned2026-07-07T05:14:47Z
dc.date.available2026-07-07T05:14:47Z
dc.descriptionWe investigate complete minimal hypersurfaces in the Euclidean space $% \ {R}^{4}$, with Gauss-Kronecker curvature identically zero. We prove that, if $f:M^{3}\to {R}^{4}$ is a complete minimal hypersurface with Gauss-Kronecker curvature identically zero, nowhere vanishing second fundamental form and scalar curvature bounded from below, then $f(M^{3})$ splits as a Euclidean product $L^{2}\times {R}$, where $L^{2}$ is a complete minimal surface in $ {R}^{3}$ with Gaussian curvature bounded from below.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0411627
dc.identifierhttp://arxiv.org/abs/math/0411627
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73410
dc.subjectDifferential Geometry
dc.subject53C42
dc.titleMinimal hypersurfaces with zero Gauss-Kronecker curvature
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