Limit leaves of an $H$ lamination are stable
Meeks, William H. ; Pérez, Joaquín ; Ros, Antonio
J. Differential Geom., Tome 84 (2010) no. 1, p. 179-189 / Harvested from Project Euclid
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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.
Publié le : 2010-01-15
Classification:  
@article{1271271797,
     author = {Meeks, William H. and P\'erez, Joaqu\'\i n and Ros, Antonio},
     title = {Limit leaves of an $H$ lamination are stable},
     journal = {J. Differential Geom.},
     volume = {84},
     number = {1},
     year = {2010},
     pages = { 179-189},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1271271797}
}

Meeks, William H.; Pérez, Joaquín; Ros, Antonio. Limit leaves of an $H$ lamination are stable. J. Differential Geom., Tome 84 (2010) no. 1, pp.  179-189. http://gdmltest.u-ga.fr/item/1271271797/