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arxiv: 1002.0438 · v1 · submitted 2010-02-02 · 🧮 math.DG

Embedded minimal and constant mean curvature annulus touching spheres

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keywords constantcurvatureannulusembeddedmeanminimalspherestangent
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We show that a compact embedded minimal or constant mean curvature annulus with non-vanishing Gaussian curvature which is tangent to two spheres of same radius or tangent to a sphere and meeting a plane in constant contact angle is rotational.

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