Stable hypersurfaces with constant mean curvature in \(R^ n\)
The author proves that if \(M\) is a complete noncompact stable hypersurface in Euclidean space \(\mathbb{R}^n\) with constant mean curvature and nonnegative Ricci curvature, then \(M\) is a plane. This result partially answers do Carmo's conjecture that a complete noncompact stable hypersurface in \(\mathbb{R}^n\) with constant mean curvature is minimal.
scientific article; zbMATH DE number 986944