Title: Anisotropic umbilic points and Hopf's theorem for surfaces with constant anisotropic mean curvature

Authors: Miyuki Koiso and Bennett Palmer

Issue: Volume 59 (2010), Issue 1, 79-90

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.