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Foliations For Quasi-Fuchsian 3-Manifolds

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In this paper, we prove that if a quasi-Fuchsian 3-manifold contains a minimal surface whose principal curvatures are in (-1, 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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2009-10-13T20:26:02Z

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dissertation or thesis

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