Abstract
Suppose $L$ is a lamination of a Riemannian manifold by hypersurfaces with the same constant mean curvature $H$. We prove that every limit leaf of $L$ is stable for the Jacobi operator. A simple but important consequence of this result is that the set of stable leaves of $L$ has the structure of a lamination.
Citation
William H. Meeks III. Joaquín Pérez. Antonio Ros. "Limit leaves of an $H$ lamination are stable." J. Differential Geom. 84 (1) 179 - 189, January 2010. https://doi.org/10.4310/jdg/1271271797
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