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Hyperbolicity, CAT(−1)-spaces and the Ptolemy inequality

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Abstract

Using a four points inequality for the boundary of CAT(-1)-spaces we study the relation between Gromov hyperbolic spaces and CAT(-1)-spaces.

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Authors and Affiliations

  1. Institut für Mathematik, Universität Bonn, Beringstr. 1, 53111, Bonn, Germany

    Thomas Foertsch

  2. Institut für Mathematik, Universität Zürich, Winterthurer Strasse 190, 8057, Zurich, Switzerland

    Viktor Schroeder

Authors
  1. Thomas Foertsch
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  2. Viktor Schroeder
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Correspondence to Thomas Foertsch.

Additional information

V. Schroeder was supported by Swiss National Science Foundation.

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Foertsch, T., Schroeder, V. Hyperbolicity, CAT(−1)-spaces and the Ptolemy inequality. Math. Ann. 350, 339–356 (2011). https://doi.org/10.1007/s00208-010-0560-0

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  • DOI: https://doi.org/10.1007/s00208-010-0560-0

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