The triangle groups \((2,p,q)\) are characterized by their length spectrum.

DOI10.5802/AIF.2424zbMath1202.20049arXiv0807.4746OpenAlexW4300012225MaRDI QIDQ999694

Emmanuel Philippe

Publication date: 10 February 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4746

zbMATH Keywords

geodesicsmoduli 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)

Related Items (2)

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

Cites Work

• Unnamed Item
• 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
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Huber's Theorem for Hyperbolic Orbisurfaces
• Systoles of a Family of Triangle Surfaces
• Geometry and spectra of compact Riemann surfaces

This page was built for publication: The triangle groups \((2,p,q)\) are characterized by their length spectrum.