Nonnegatively curved hypersurfaces with free boundary on a sphere

被引：3

作者：

Ghomi, Mohammad ^{[1
]}

Xiong, Changwei ^{[2
]}

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[2] Australian Natl Univ, Inst Math Sci, Canberra, ACT 2601, Australia

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 58卷 / 03期

关键词：

CONSTANT MEAN-CURVATURE; CONVEX; SYMMETRY;

D O I：

10.1007/s00526-019-1532-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that in Euclidean space Rn+1 any compact immersed nonnegatively curved hypersurface M with free boundary on the sphere Sn is an embedded convex topological disk. In particular, when the mth mean curvature of M is constant, for any 1mn, M is a spherical cap or an equatorial disk.

引用

页数：20

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