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arXiv · 0909.1986

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

Miyuki Koiso·Bennett Palmer
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Abstract

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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Miyuki Koiso, Bennett Palmer. 2009-09-14. Anisotropic umbilic points and Hopf's Theorem for surfaces with constant anisotropic mean curvature. https://arxiv.org/abs/0909.1986

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