Geometric characterizations of Gromov hyperbolicity

被引:0
作者
Zoltán M. Balogh
Stephen M. Buckley
机构
[1] Universität Bern,Departement Mathematik
[2] National University of Ireland,Department of Mathematics
来源
Inventiones mathematicae | 2003年 / 153卷
关键词
Geometric Property; Separation Condition; Geometric Characterization; Control Geometry; Gromov Hyperbolicity;
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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:40
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