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arxiv: 0909.1986 · v2 · submitted 2009-09-10 · 🧮 math.DG

Anisotropic umbilic points and Hopf's Theorem for surfaces with constant anisotropic mean curvature

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keywords anisotropiccurvatureconstantmeanshapewulffellipticfunctionals
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We show that for elliptic parametric functionals whose Wulff shape is smooth and has strictly positive curvature, any surface with constant anisotropic mean curvature which is a topological sphere is a rescaling of the Wulff shape.

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