A product construction for hyperbolic metric spaces

Foertsch, T; Schroeder, Viktor (2005). A product construction for hyperbolic metric spaces. Illinois Journal of Mathematics, 49(3):793-810 (electronic).

Abstract

For hyperbolic metric spaces X1, X2 we deﬁne and study
a one parameter family of “hyperbolic products” Y∆, ∆
≥ 0, of X1 and X2 . In particular, we investigate the relation between the boundaries at inﬁnity of the factor spaces and the boundary at inﬁnity of their hyperbolic products.

Abstract

For hyperbolic metric spaces X1, X2 we deﬁne and study
a one parameter family of “hyperbolic products” Y∆, ∆
≥ 0, of X1 and X2 . In particular, we investigate the relation between the boundaries at inﬁnity of the factor spaces and the boundary at inﬁnity of their hyperbolic products.

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