Geodesic
Boundary at infinity of hyperbolic rank one spaces
Algebra i analiz, Tome 21 (2009) no. 5, pp. 3-18 
S. V. Buyalo; A. M. Kuznetsov. Boundary at infinity of hyperbolic rank one spaces. Algebra i analiz, Tome 21 (2009) no. 5, pp. 3-18. http://geodesic.mathdoc.fr/item/AA_2009_21_5_a0/
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     author = {S. V. Buyalo and A. M. Kuznetsov},
     title = {Boundary at infinity of hyperbolic rank one spaces},
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     volume = {21},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2009_21_5_a0/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that the canonical Carnot-Carathéodory spherical and horospherical metrics, which are defined on the boundary at infinity of every rank one symmetric space of noncompact type, are visual; i.e., they are bi-Lipschitz equivalent with universal bi-Lipschitz constants to the inverse exponent of Gromov products based in the space and on the boundary at infinity respectively.

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