Möbius characterization of hemispheres

DOI10.1007/S00013-012-0399-6zbMath1266.51017OpenAlexW1970889973MaRDI QIDQ444107

Thomas Foertsch, Viktor Schroeder

Publication date: 13 August 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://www.zora.uzh.ch/id/eprint/71202/11/ZORA_NL_71202.pdf

zbMATH Keywords

Ptolemy metric spacehemispheresmetric spheresMöbius characterization

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Metric geometry (51F99) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Möbius geometries (51B10)

Related Items (1)

Toward a quasi-Möbius characterization of invertible homogeneous metric spaces

Cites Work

• Ptolemy circles and Ptolemy segments
• Hyperbolicity, CAT(\(-1\))-spaces and the Ptolemy inequality
• Metric Möbius geometry and a characterization of spheres
• Group actions on geodesic Ptolemy spaces
• Spaces with many affine functions
• Nonpositive Curvature and the Ptolemy Inequality
• A Remark on M. M. Day's Characterization of Inner-Product Spaces and a Conjecture of L. M. Blumenthal

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