Projections and relative hyperbolicity

Mathematics – Metric Geometry

Scientific paper

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The previous version has been split, the present version is a revision of the first part of the old version. The second part i

Scientific paper

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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