Revisiting the foundations of Barbilian's metrization procedure
DOI10.1016/j.difgeo.2011.04.038zbMath1221.53040OpenAlexW2095368344WikidataQ115356851 ScholiaQ115356851MaRDI QIDQ549975
Marian G. Ciucă, Wladimir G. Boskoff, Bogdan Dragos Suceavă
Publication date: 19 July 2011
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.04.038
Poincaré metricLorentz geometryApollonian metricBarbilian's metrization procedureBeltrami-Klein modelRiemannian metric, generalized Lagrange structure.
General theory of distance geometry (51K05) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)
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Cites Work
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- The Apollonian metric: quasi-isotropy and Seittenranta's metric
- Barbilian spaces: the history of a geometric idea
- The Apollonian inner metric
- The Apollonian metric: limits of the comparison and bilipschitz properties
- Conformality of the Apollonian metric
- Apollonian isometries of planar domains are Möbius mappings
- Trigonometry in Lorentzian Geometry
- Barbilian’s metrization procedure in the plane yields either Riemannian or Lagrange generalized metrics
- On the apollonian metric of domains in
- Isometries of the Half-Apollonian Metric
- The Apollonian Metric: The Comparison Property, Bilipschitz Mappings and Thick Sets
- Barbilian geometry and the Poincare Model
- Encyclopedia of Distances
- Lagrange geometry
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