Examples of scalar-flat hypersurfaces in $\mathbb{R}^{n+1}$

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dc.creatorde Lira, Jorge H. S.
dc.creatorSoret, Marc
dc.date2008-12-14
dc.date.accessioned2026-07-07T12:12:47Z
dc.date.available2026-07-07T12:12:47Z
dc.descriptionGiven a hypersurface $M$ of null scalar curvature in the unit sphere $\mathbb{S}^n$, $n\ge 4$, such that its second fundamental form has rank greater than 2, we construct a singular scalar-flat hypersurface in $\Rr^{n+1}$ as a normal graph over a truncated cone generated by $M$. Furthermore, this graph is 1-stable if the cone is strictly 1-stable.
dc.descriptionPaper accepted to publication in Manuscripta Mathematica
dc.identifierhttps://arxiv.org/abs/0812.2644
dc.identifierhttp://arxiv.org/abs/0812.2644
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210657
dc.subjectDifferential Geometry
dc.subject53C42
dc.titleExamples of scalar-flat hypersurfaces in $\mathbb{R}^{n+1}$
dc.typetext

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