Integral formula of Minkowski type and new characterization of the Wulff shape

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dc.creatorHe, Yijun
dc.creatorLi, Haizhong
dc.date2007-03-07
dc.date.accessioned2026-07-07T07:50:39Z
dc.date.available2026-07-07T07:50:39Z
dc.descriptionGiven 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.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0703187
dc.identifierhttp://arxiv.org/abs/math/0703187
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125233
dc.subjectDifferential Geometry
dc.subjectPrimary 53C42, 53A30; Secondary 53B25
dc.titleIntegral formula of Minkowski type and new characterization of the Wulff shape
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