Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity

We study the geometry of nonrelatively hyperbolic groups. Generalizing a result of Schwartz, any quasi-isometric image of a non-relatively hyperbolic space in a relatively hyperbolic space is contained in a bounded neighborhood of a single peripheral subgroup. This implies that a group being relativ...

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Detaylı Bibliyografya
Asıl Yazarlar: Behrstock, J, Drutu, C, Mosher, L
Materyal Türü: Journal article
Dil:English
Baskı/Yayın Bilgisi: 2005