Projections and relative hyperbolicity
Metric Geometry
2012-04-04 v4 Group Theory
Geometric Topology
Abstract
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.
Cite
@article{arxiv.1010.4552,
title = {Projections and relative hyperbolicity},
author = {Alessandro Sisto},
journal= {arXiv preprint arXiv:1010.4552},
year = {2012}
}
Comments
The previous version has been split, the present version is a revision of the first part of the old version. The second part is now called "Tree-graded asymptotic cones"