This article is cited in 1 paper

Research Papers

Boundary at infinity of hyperbolic rank one spaces

S. V. Buyalo^a, A. M. Kuznetsov

^a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

Abstract: 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.

MSC: 53C23

Received: 20.05.2009

 English version: St. Petersburg Mathematical Journal, 2010, 21:5, 681–691

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