Boundary at infinity of symmetric rank one spaces

DOI10.1090/S1061-0022-2010-01111-7zbMath1203.53038arXiv0906.0779OpenAlexW2963016668MaRDI QIDQ3163673

A. M. Kuznetsov, Sergei V. Buyalo

Publication date: 26 October 2010

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.0779

zbMATH Keywords

visual metricGromov productCarnot-Carathédory horospherical metricCarnot-Carathéodory spherical metric

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Differential geometry of symmetric spaces (53C35)

Cites Work

• Unnamed Item
• Hyperbolicity, CAT(\(-1\))-spaces and the Ptolemy inequality
• Elements of asymptotic geometry
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Geometry of horospheres
• Conformal structure on the boundary and geodesic flow of a \(\text{CAT}(-1)\)-space
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)

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