Foliations for Quasi-Fuchsian 3-Manifolds

Details Foliations for Quasi-Fuchsian 3-Manifolds Foliations for Quasi-Fuchsian 3-Manifolds

2008-09-24

arxiv.org/abs/0809.4057v1

Mathematics

Differential Geometry

22 pages, 2 figures

Scientific paper

In this paper, we prove that if a quasi-Fuchsian 3-manifold contains a
minimal surface whose principle curvature is less than 1, then it admits a
foliation such that each leaf is a surface of constant mean curvature. The key
method that we use here is volume preserving mean curvature flow.

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