Comparison theorems on convex hypersurfaces in Hadamard manifolds

被引：15
|
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.
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页码：191 / 202
页数：12
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