Anisotropic version of a theorem of H. Hopf |
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Authors: | Yi Jun He Haizhong Li |
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Institution: | (1) School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, People’s Republic of China;(2) Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People’s Republic of China |
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Abstract: | Given a positive function F on S
2 which satisfies a convexity condition, we define a function for surfaces in which is a generalization of the usual mean curvature function. We prove that an immersed topological sphere in with = constant is the Wulff shape, up to translations and homotheties.
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Keywords: | Wulff shape Topological sphere Anisotropic mean curvature |
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