%0 Journal Article
%T Examples of scalar-flat hypersurfaces in $\mathbb{R}^{n+1}$
%A Jorge H. S. de Lira
%A Marc Soret
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0812.2644v1