Limit leaves of a CMC lamination are stable
Differential Geometry
2008-02-26 v2
Abstract
Suppose is a lamination of a Riemannian manifold by hypersurfaces with the same constant mean curvature. We prove that every limit leaf of is stable for the Jacobi operator. A simple but important consequence of this result is that the set of stable leaves of has the structure of a lamination.
Cite
@article{arxiv.0801.4345,
title = {Limit leaves of a CMC lamination are stable},
author = {William H. Meeks and Joaquin Perez and Antonio Ros},
journal= {arXiv preprint arXiv:0801.4345},
year = {2008}
}
Comments
10 pages, 3 figures, replacement: minor changes in the introduction + notation