Characterizing complete 𝐶𝐴𝑇(𝜅)-spaces, 𝜅<0, with geodesic boundary

Foertsch, Thomas; Radke, Katrin

doi:10.1090/S0002-9947-2010-05144-X

Characterizing complete $\operatorname {CAT}(\kappa )$-spaces, $\kappa <0$, with geodesic boundary
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by Thomas Foertsch and Katrin Radke PDF

Trans. Amer. Math. Soc. 363 (2011), 75-93 Request permission

Abstract:

We investigate the Bourdon and Hamenstädt boundaries of complete $\operatorname {CAT}(\kappa )$-spaces, $\kappa <0$, and characterize those with geodesic Hamenstädt boundary up to isometry.

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