%0 Journal Article %T Limit leaves of a CMC lamination are stable %A William H. Meeks III %A Joaquin Perez %A Antonio Ros %J Mathematics %D 2008 %I arXiv %X Suppose ${\cal L}$ is a lamination of a Riemannian manifold by hypersurfaces with the same constant mean curvature. We prove that every limit leaf of ${\cal L}$ is stable for the Jacobi operator. A simple but important consequence of this result is that the set of stable leaves of ${\cal L}$ has the structure of a lamination. %U http://arxiv.org/abs/0801.4345v2