Boundary at infinity of symmetric rank one spaces

Details Boundary at infinity of symmetric rank one spaces Boundary at infinity of symmetric rank one spaces

2009-06-04

arxiv.org/abs/0906.0779v2

Mathematics

Differential Geometry

14 pages; v.2 a minor correction of statements in Lemma 2.1 and around it

Scientific paper

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.

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