Foliations for Quasi-Fuchsian 3-Manifolds
classification
🧮 math.DG
math.GT
keywords
curvaturemeanquasi-fuchsiansurfaceadmitsconstantcontainsflow
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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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