Integral geometry and geometric inequalities in hyperbolic space

被引：21

作者：

Gallego, E ^{[1
]}

Solanes, G ^{[1
]}

机构：

[1] Dept Math, Edifici Cc, Bellaterra 08193, Spain

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2005年 / 22卷 / 03期

关键词：

hyperbolic space; convex set; quermassintegrale; mean curvature integrals; volume;

D O I：

10.1016/j.difgeo.2005.01.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using results from integral geometry, we find inequalities involving mean curvature integrals of convex hypersurfaces in hyperbolic space. Such inequalities generalize the Minkowski formulas for euclidean convex sets. © 2005 Elsevier B.V. All rights reserved.

引用

页码：315 / 325

页数：11

共 11 条

[1] Comparison theorems on convex hypersurfaces in Hadamard manifolds [J].