\delta-quasiconvex groups
by
Aleksandar Poleksic
Florida State University

We study \delta-quasiconvex spaces, a class of nonpositively curved metric spaces (defined by G. Conner) that includes both Gromov negatively curved and CAT(0)-spaces. In particular, we define the boundary of a quasiconvex space in a way that generalizes the Gromov boundary of a negatively curved space as well as the visual boundary of a CAT(0)-space. This allows us to give a unified treatment of boundaries in these two special settings. We also prove that \delta- quasiconvex groups (i.e. groups acting geometrically on \delta- quasiconvex geometries) are translation discrete. This result has several interesting corollaries.

Date received: April 28, 1998

Copyright © 1998 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 Mathematical Conference Abstracts. Document # cabb-40.