Geometric characterizations of Gromov hyperbolicity

• 成果类型: Article
• 署名作者: Balogh, ZM; Buckley, SM
• 署名单位: University of Bern; Maynooth University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-003-0287-6
• 发表日期: 2003
• 页码: 261-301
• 关键词: conformal-maps; SPACES

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.