%0 Journal Article %T Stable constant mean curvature hypersurfaces are area minimizing in small L^1 neighborhoods %A Frank Morgan %A Antonio Ros %J Mathematics %D 2008 %I arXiv %X We prove that a strictly stable constant-mean-curvature hypersurface in a smooth manifold of dimension less than or equal to 7 is uniquely homologically area minimizing for fixed volume in a small L^1 neighborhood. %U http://arxiv.org/abs/0811.3126v1