Examples of scalar-flat hypersurfaces in $\mathbb{R}^{n+1}$
Differential Geometry
2008-12-16 v1
Abstract
Given a hypersurface of null scalar curvature in the unit sphere , , such that its second fundamental form has rank greater than 2, we construct a singular scalar-flat hypersurface in as a normal graph over a truncated cone generated by . Furthermore, this graph is 1-stable if the cone is strictly 1-stable.
Cite
@article{arxiv.0812.2644,
title = {Examples of scalar-flat hypersurfaces in $\mathbb{R}^{n+1}$},
author = {Jorge H. S. de Lira and Marc Soret},
journal= {arXiv preprint arXiv:0812.2644},
year = {2008}
}
Comments
Paper accepted to publication in Manuscripta Mathematica