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# Analysis and Geometry in Metric Spaces

Ed. by Ritoré, Manuel

IMPACT FACTOR 2018: 0.536

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Open Access
Online
ISSN
2299-3274
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Volume 3, Issue 1

# Incidence Axioms for the Boundary at Infinity of Complex Hyperbolic Spaces

• Corresponding author
• St. Petersburg Dept. of Steklov Math. Institute RAS, Fontanka 27, 191023 St. Petersburg, Russia, St. Petersburg State University
• Other articles by this author:
/ Viktor Schroeder
• Corresponding author
• Institut für Mathematik, Universität Zürich, Winterthurer Strasse 190, CH-8057 Zürich, Switzerland
• Other articles by this author:
Published Online: 2015-09-15 | DOI: https://doi.org/10.1515/agms-2015-0015

## Abstract

We characterize the boundary at infinity of a complex hyperbolic space as a compact Ptolemy space that satisfies four incidence axioms.

## References

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• [6] T. Foertsch, V. Schroeder, Hyperbolicity, CAT(−1)-spaces and Ptolemy inequality, Math. Ann. 350 (2011), no. 2, 339–356. Google Scholar

• [7] P. Hitzelberger, A. Lytchak, Spaces with many affine functions, Proc. Amer. Math. Soc. 135 (2007), no. 7, 2263–2271.

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• [9] I. Mineyev, Metric conformal structures and hyperbolic dimension, Conform. Geom. Dyn. 11 (2007), 137–163 (electronic). Google Scholar

Accepted: 2015-07-13

Published Online: 2015-09-15

Citation Information: Analysis and Geometry in Metric Spaces, Volume 3, Issue 1, ISSN (Online) 2299-3274,

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