Stable minimal hypersurfaces in ${\mathbf{R}}^5$

Abstract

We show that a complete, two-sided, stable minimal hypersurface in ${\mathbf{R}}^5$ is flat.

final version, to appear in Ann. of Math

References in corpus (4)

• Minimal hypersurfaces with bounded index
• L^2 harmonics forms on non compact manifolds
• A Green's function proof of the Positive Mass Theorem
• Comparison theorems for three-dimensional manifolds with scalar curvature bound