Boundary at infinity of symmetric rank one spaces
Differential Geometry
2009-09-18 v2 Metric Geometry
Abstract
We show that canonical Carnot-Caratheodory spherical and horospherical metrics, which are defined on the boundary at infinity of every rank one symmetric space of non-compact type, are visual, i.e., they are bilipschitz equivalent with universal bilipschitz constants to the inverse exponent of Gromov products based in the space and on the boundary at infinity respectively.
Keywords
Cite
@article{arxiv.0906.0779,
title = {Boundary at infinity of symmetric rank one spaces},
author = {Sergei Buyalo and Alexey Kuznetsov},
journal= {arXiv preprint arXiv:0906.0779},
year = {2009}
}
Comments
14 pages; v.2 a minor correction of statements in Lemma 2.1 and around it