paper

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

arXiv:0909.1986

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.

Numerical calculation replaced with rigorous one

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