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Algebra i Analiz, 2009, Volume 21, Issue 5, Pages 3–18 (Mi aa1150)  
This article is cited in 1 scientific paper (total in 1 paper)

Research Papers

Boundary at infinity of hyperbolic rank one spaces

S. V. Buyaloa, A. M. Kuznetsov

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
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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.
Received: 20.05.2009
English version:
St. Petersburg Mathematical Journal, 2010, Volume 21, Issue 5, Pages 681–691
DOI: https://doi.org/10.1090/S1061-0022-2010-01111-7
Bibliographic databases:
Document Type: Article
MSC: 53C23
Language: Russian
Citation: S. V. Buyalo, A. M. Kuznetsov, “Boundary at infinity of hyperbolic rank one spaces”, Algebra i Analiz, 21:5 (2009), 3–18; St. Petersburg Math. J., 21:5 (2010), 681–691
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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