Yijun He, Haizhong Li
Published 2007-03-07Version 1
Given a positive function F on Sn which satisfies a convexity condition, we introduce the r-th anisotropic mean curvature Mr for hypersurfaces in Rn+1 which is a generalization of the usual r-th mean curvature Hr. We get integral formulas of Minkowski type for compact hypersurfaces in Rn+1. We give some new characterizations of the Wulff shape by use of our integral formulas of Minkowski type, in case F = 1 which reduces to some well-known results.
An integral formula in Kahler geometry with applications
An integral formula and its applications on sub-static manifolds
An integral formula for Riemannian $G$-structures with applications to almost hermitian and almost contact structures
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