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Pré-Publication, Document De Travail Année : 2008

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

Résumé

Given 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.

Dates et versions

hal-00360792 , version 1 (12-02-2009)

Identifiants

Citer

Jorge H. S. de Lira, Marc Soret. Examples of scalar-flat hypersurfaces in $\mathbb{R}^{n+1}$. 2008. ⟨hal-00360792⟩
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