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# A pr 2 00 4 GEOMETRIC INVARIANTS OF SPACES WITH ISOLATED FLATS

@inproceedings{HRUSKA2008AP2, title={A pr 2 00 4 GEOMETRIC INVARIANTS OF SPACES WITH ISOLATED FLATS}, author={G. CHRISTOPHER HRUSKA}, year={2008} }

- Published 2008

We study those groups that act properly discontinuously, cocompactly, and isometrically on CAT(0) spaces with isolated flats and the Relative Fellow Traveller Property. The groups in question include word hyperbolic CAT(0) groups as well as geometrically finite Kleinian groups and numerous 2–dimensional CAT(0) groups. For such a group we show that there is an intrinsic notion of a quasiconvex subgroup which is equivalent to the inclusion being a quasi-isometric embedding. We also show that the… CONTINUE READING

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