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Organizers |
Boundaries
by
Ursula Hamenstaedt
University Bonn
A hyperbolic group can be compactified by adding its Gromov boundary.We give an elementary presentation of the structure of this boundary emphasizing the idea that the group viewed as a hyperbolic space can roughly be reconstructed from its boundary. In particular, we explain the role of cross ratios and relate them to the geodesic flow in the case that our group is the fundamental group of a negatively curved manifold.
Date received: February 22, 2006
Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caso-14.