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Zbl 1059.30038
Balogh, Zoltán M.; Buckley, Stephen M.
Geometric characterizations of Gromov hyperbolicity.
(English)
[J] Invent. Math. 153, No. 2, 261-301 (2003). ISSN 0020-9910; ISSN 1432-1297/e

Summary: 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 Geh\-ring-Hay\-man property and a separation condition.
MSC 2000:
*30F45 Conformal metrics

Cited in: Zbl 1179.53049

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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