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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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Boundary at infinity of symmetric rank one spaces
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by S. Buyalo and A. Kuznetsov
Translated by: the authors
St. Petersburg Math. J. 21 (2010), 681-691
DOI: https://doi.org/10.1090/S1061-0022-2010-01111-7
Published electronically: July 14, 2010
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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.
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Bibliographic Information
  • S. Buyalo
  • Affiliation: St. Petersburg Branch, Steklov Institute of Mathematics, Fontanka 27, St. Petersburg 191023, Russia
  • Email: sbuyalo@pdmi.ras.ru
  • A. Kuznetsov
  • Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskii Prospekt 28, Staryi Petergof, St. Petersburg 198504, Russia
  • Email: kasheftin@gmail.com
  • Received by editor(s): May 20, 2009
  • Published electronically: July 14, 2010
  • Additional Notes: Supported by RFBR (grant no. 08-01-00079a)
  • © Copyright 2010 American Mathematical Society
  • Journal: St. Petersburg Math. J. 21 (2010), 681-691
  • MSC (2010): Primary 53C23
  • DOI: https://doi.org/10.1090/S1061-0022-2010-01111-7
  • MathSciNet review: 2604560