An Alexandrov-Fenchel-type inequality for hypersurfaces in the sphere

被引：9

作者：

Girao, Frederico ^{[1
]}

Pinheiro, Neilha M. ^{[1
]}

机构：

[1] Univ Fed Ceara, Dept Matemat, Campus Pici,Ave Humberto Monte S-N,Bloco 914, BR-60455760 Fortaleza, Ceara, Brazil

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2017年 / 52卷 / 04期

关键词：

Alexandrov-Fenchel-type inequality; Inverse mean curvature flow; Convex hypersurfaces in the sphere; PENROSE INEQUALITY; HYPERBOLIC SPACE; CURVATURE FLOWS; MANIFOLDS; MASS;

D O I：

10.1007/s10455-017-9562-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find a monotone quantity along the inverse mean curvature flow and use it to prove an Alexandrov-Fenchel-type inequality for strictly convex hypersurfaces in the n-dimensional sphere, .

引用

页码：413 / 424

页数：12

共 24 条

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