Metric Möbius geometry and a characterization of spheres
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Publication:1942238
DOI10.1007/s00229-012-0555-0zbMath1270.51016arXiv1008.3250OpenAlexW1987794013MaRDI QIDQ1942238
Viktor Schroeder, Thomas Foertsch
Publication date: 18 March 2013
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.3250
Distance geometry (51K99) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)
Related Items (7)
Ptolemy spaces with strong inversions ⋮ Möbius structures and timed causal spaces on the circle ⋮ Ptolemy circles and Ptolemy segments ⋮ Möbius characterization of hemispheres ⋮ Möbius characterization of the boundary at infinity of rank one symmetric spaces ⋮ Incidence axioms for the boundary at infinity of complex hyperbolic spaces ⋮ SRA-free condition by Zolotov for self-contracted curves and nondegeneracy of the zz-distance for Möbius structures on the circle
Cites Work
- Hyperbolizing hyperspaces
- Hyperbolicity, CAT(\(-1\))-spaces and the Ptolemy inequality
- A geometric characterization of negatively curved locally symmetric spaces
- Conformal structure on the boundary and geodesic flow of a \(\text{CAT}(-1)\)-space
- Group actions on geodesic Ptolemy spaces
- Spaces with many affine functions
- PTOLEMAIC SPACES AND CAT(0)
- 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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