Geometric characterizations of Gromov hyperbolicity

被引：76

作者：

Balogh, ZM

Buckley, SM

机构：

[1] Univ Bern, Dept Math, CH-3012 Bern, Switzerland

[2] Natl Univ Ireland, Dept Math, Maynooth, Kildare, Ireland

来源：

INVENTIONES MATHEMATICAE | 2003年 / 153卷 / 02期

关键词：

D O I：

10.1007/s00222-003-0287-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the equivalence of three different geometric properties of metric-measure spaces with controlled geometry. The first property is the Gromov hyperbolicity of the quasihyperbolic metric. The second is a slice condition and the third is a combination of the Gehring-Hayman property and a separation condition.

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页码：261 / 301

页数：41

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