Quasiflats in CAT(0) complexes
Group Theory
2015-07-30 v2 Differential Geometry
Metric Geometry
Abstract
We show that if X is a piecewise Euclidean 2-complex with a cocompact isometry group, then every 2-quasiflat in X is at finite Hausdorff distance from a subset which is locally flat outside a compact set, and asymptotically conical.
Cite
@article{arxiv.0804.2619,
title = {Quasiflats in CAT(0) complexes},
author = {Mladen Bestvina and Bruce Kleiner and Michah Sageev},
journal= {arXiv preprint arXiv:0804.2619},
year = {2015}
}