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arxiv: 1010.4552 · v4 · pith:PN4X2TVAnew · submitted 2010-10-21 · 🧮 math.MG · math.GR· math.GT

Projections and relative hyperbolicity

classification 🧮 math.MG math.GRmath.GT
keywords groupshyperbolicityprojectionsrelativealternativeclassclosest-pointdefinition
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We give an alternative definition of relative hyperbolicity based on properties of closest-point projections on peripheral subgroups. We also derive a distance formula for relatively hyperbolic groups, similar to the one for mapping class groups.

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