Open Access
Fall 2005 A product construction for hyperbolic metric spaces
Thomas Foertsch, Viktor Schroeder
Illinois J. Math. 49(3): 793-810 (Fall 2005). DOI: 10.1215/ijm/1258138219

Abstract

For hyperbolic metric spaces $X_1$, $X_2$ we define and study a one parameter family of ``hyperbolic products'' $Y_{\De}$, $\De \ge 0$, of $X_1$ and $X_2$. In particular, we investigate the relation between the boundaries at infinity of the factor spaces and the boundary at infinity of their hyperbolic products.

Citation

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Thomas Foertsch. Viktor Schroeder. "A product construction for hyperbolic metric spaces." Illinois J. Math. 49 (3) 793 - 810, Fall 2005. https://doi.org/10.1215/ijm/1258138219

Information

Published: Fall 2005
First available in Project Euclid: 13 November 2009

zbMATH: 1104.53038
MathSciNet: MR2210259
Digital Object Identifier: 10.1215/ijm/1258138219

Subjects:
Primary: 53C23
Secondary: 53C21

Rights: Copyright © 2005 University of Illinois at Urbana-Champaign

Vol.49 • No. 3 • Fall 2005
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