Geometric determination of the systole of triangle groups

DOI10.1016/J.CRMA.2011.10.015zbMath1269.53039OpenAlexW2002707615MaRDI QIDQ650864

Emmanuel Philippe

Publication date: 7 December 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.10.015

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Geodesics in global differential geometry (53C22) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (1)

Figure eight geodesics on 2-orbifolds

Cites Work

• Unnamed Item
• On the rigidity of triangle groups \((r,p,q)\).
• An effective process of determination of systoles for hyperbolic surfaces
• The triangle groups \((2,p,q)\) are characterized by their length spectrum.
• The geometry and spectrum of the one holed torus
• Reconstruction of the three-dimensional refractive index in electromagnetic scattering by using a propagation backpropagation method
• Systoles of a Family of Triangle Surfaces

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