Comparison Theorems on Convex Hypersurfaces in Hadamard Manifolds

被引:0
|
作者
Alexandr A. Borisenko
Vicente Miquel
机构
[1] Kharkov National University,Geometry Department, Math.
[2] Universidad de Valencia,Mech. Faculty
来源
Annals of Global Analysis and Geometry | 2002年 / 21卷
关键词
circumradius; convex domain; Hadamard manifold; hyperbolic space; inradius; -th curvature;
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摘要
In a Hadamard manifold with sectional curvaturebounded from below by −k22, we give sharp upper estimates for the difference circumradius minus inradiusof a compact k2-convex domain, and we getalso estimates for the quotient (Total d-mean curvature)/Area of a convex domain.
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页码:191 / 202
页数:11
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