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Limit leaves of an h lamination are stable

William H. Meeks III University of Massachusetts Joaquın Perez University of Granada Antonio Ros University of Granada

Differential Geometry mathscidoc:1609.10159

Journal of Differential Geometry, 84, (1), 179-189, 2010
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.
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@inproceedings{william2010limit,
  title={LIMIT LEAVES OF AN H LAMINATION ARE STABLE},
  author={William H. Meeks III, Joaquın Perez, and Antonio Ros},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160911205831242850816},
  booktitle={Journal of Differential Geometry},
  volume={84},
  number={1},
  pages={179-189},
  year={2010},
}
William H. Meeks III, Joaquın Perez, and Antonio Ros. LIMIT LEAVES OF AN H LAMINATION ARE STABLE. 2010. Vol. 84. In Journal of Differential Geometry. pp.179-189. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160911205831242850816.
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