Comparison theorems on convex hypersurfaces in Hadamard manifolds

被引：17

作者：

Borisenko, AA

Miquel, V

机构：

[1] Kharkov Natl Univ, Geometry Dept, Math Mech Fac, UA-61007 Kharkov, Ukraine

[2] Univ Valencia, Dept Geometria & Topol, E-46100 Valencia, Spain

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2002年 / 21卷 / 02期

关键词：

circumradius; convex domain; Hadamard manifold; hyperbolic space; inradius; k-th curvature;

D O I：

10.1023/A:1014775603532

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a Hadamard manifold with sectional curvature bounded from below by -k(2)(2), we give sharp upper estimates for the difference circumradius minus inradius of a compact k(2)-convex domain, and we get also estimates for the quotient (Total d-mean curvature)/Area of a convex domain.

引用

页码：191 / 202

页数：12