Incidence axioms for the boundary at infinity of complex hyperbolic spaces

DOI10.1515/agms-2015-0015zbMath1344.53026arXiv1409.0984OpenAlexW2962855399WikidataQ125862189 ScholiaQ125862189MaRDI QIDQ496261

Viktor Schroeder, Sergei V. Buyalo

Publication date: 21 September 2015

Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0984

zbMATH Keywords

Ptolemy spacescomplex hyperbolic spacesincidence axioms

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Differential geometry of symmetric spaces (53C35)

Related Items (5)

Ptolemy spaces with strong inversions ⋮ Möbius structures and timed causal spaces on the circle ⋮ The Ptolemaean inequality in the closure of complexhyperbolic planes ⋮ Generalized angles in Ptolemaic Möbius structures ⋮ Toward a quasi-Möbius characterization of invertible homogeneous metric spaces

Cites Work

• Möbius characterization of the boundary at infinity of rank one symmetric spaces
• Hyperbolicity, CAT(\(-1\))-spaces and the Ptolemy inequality
• Elements of asymptotic geometry
• Metric Möbius geometry and a characterization of spheres
• Spaces with many affine functions
• Two-transitive Lie groups
• Groups Quasi-isometric to Complex Hyperbolic Space
• Metric conformal structures and hyperbolic dimension

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