Limit leaves of a CMC lamination are stable

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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.
10 pages, 3 figures, replacement: minor changes in the introduction + notation

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Differential Geometry, 53A10,49Q05, 53C42

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http://salesiana.dossiersoluciones.com/handle/123456789/155530

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.4345
 http://arxiv.org/abs/0801.4345

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arXiv