Foliations by constant mean curvature tubes
نویسنده
چکیده
Let Γ be a nondegenerate geodesic in a compact Riemannian manifold M . We prove the existence of a partial foliation of a neighbourhood of Γ by CMC surfaces which are small perturbations of the geodesic tubes about Γ. There are gaps in this foliation, which correspond to a bifurcation phenomenon. Conversely, we also prove, under certain restrictions, that the existence of a partial CMC foliation of this type about a submanifold Γ of any dimension implies that Γ is minimal.
منابع مشابه
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