A dimension reduction for the hyperbolic space is established. When points are far apart an embedding with bounded distortion into the hyperbolic plane is achieved.
@article{arxiv.0710.1343,
title = {Dimension Reduction for the Hyperbolic Space},
author = {itai benjamini and Yury Makarychev},
journal= {arXiv preprint arXiv:0710.1343},
year = {2007}
}