On the rigidity of triangle groups \((r,p,q)\).

DOI10.1007/S10711-010-9473-ZzbMath1248.20053OpenAlexW2171283835MaRDI QIDQ605070

Emmanuel Philippe

Publication date: 23 November 2010

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-010-9473-z

zbMATH Keywords

geodesicshyperbolic surfacesmoduli of Riemann surfacesFuchsian triangle groupslength spectra

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Geodesics in global differential geometry (53C22) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Teichmüller theory for Riemann surfaces (30F60)

Related Items (2)

Geometric determination of the systole of triangle groups ⋮ Figure eight geodesics on 2-orbifolds

Cites Work

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• Length spectra as moduli for hyperbolic surfaces
• The geometry and spectrum of the one holed torus
• The length spectra as moduli for compact Riemann surfaces
• A Lower Bound for the Volume of Hyperbolic 3-Manifolds
• Huber's Theorem for Hyperbolic Orbisurfaces
• Can One Hear the Shape of a Drum?
• Geometry and spectra of compact Riemann surfaces

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