Limit leaves of a CMC lamination are stable

Details Limit leaves of a CMC lamination are stable Limit leaves of a CMC lamination are stable

2008-01-28

arxiv.org/abs/0801.4345v2

Mathematics

Differential Geometry

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

Scientific paper

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.

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