2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155530Suppose ${\cal L}$ 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.10 pages, 3 figures, replacement: minor changes in the introduction + notationDifferential Geometry53A10,49Q05, 53C42text