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

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

2009-09-10

arxiv.org/abs/0909.1986v2

Mathematics

Differential Geometry

Numerical calculation replaced with rigorous one

Scientific paper

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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