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Integral Formula of Minkowski Type and New Characterization of the Wulff Shape 被引量:6
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作者 Yi Jun HE Hai Zhong LI 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第4期697-704,共8页
Given a positive function F on S^n which satisfies a convexity condition, we introduce the r-th anisotropic mean curvature Mr for hypersurfaces in R^n+1 which is a generalization of the usual r-th mean curvature Hr. ... Given a positive function F on S^n which satisfies a convexity condition, we introduce the r-th anisotropic mean curvature Mr for hypersurfaces in R^n+1 which is a generalization of the usual r-th mean curvature Hr. We get integral formulas of Minkowski type for compact hypersurfaces in R^n+1. We give some new characterizations of the Wulff shape by the use of our integral formulas of Minkowski type, in case F=1 which reduces to some well-known results. 展开更多
关键词 Wulff shape F-Weingarten operator mean curvature integral formula of minkowski type anisotropic principal curvature r-th anisotropic
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