The modular torus has maximal length spectrum
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Publication:2565229
DOI10.1007/BF02246996zbMath0867.30031MaRDI QIDQ2565229
Publication date: 4 August 1997
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/58253
Geodesics in global differential geometry (53C22) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)
Related Items (5)
Gol'dberg's constants ⋮ Partial solution of a conjecture of Schmutz ⋮ Spiraling spectra of geodesic lines in negatively curved manifolds ⋮ Closed geodesics on pairs of pants ⋮ Geometry of Riemann surfaces based on closed geodesics
Cites Work
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- Diophantine approximation on hyperbolic Riemann surfaces
- The geometry and spectrum of the one holed torus
- Simple geodesics and a series constant over Teichmüller space
- The classification of discrete 2-generator subgroups of PSL(2,R)
- A characterization of arithmetic Fuchsian groups
- Arithmetic triangle groups
- The parametrisation of the Teichmüller space by geodesic length functions
- Number variance for arithmetic hyperbolic surfaces
- Riemann surfaces with shortest geodesic of maximal length
- Systoles of arithmetic surfaces and Markoff spectrum
- Arithmetic groups and the length spectrum of Riemann surfaces
- Partial solution of a conjecture of Schmutz
- An extension of F. Klein's level concept
- Approach to Markoff's minimal forms through modular functions
- Modular embeddings for some non-arithmetic Fuchsian groups
- On Hurwitz extensions by PSL2(7)
- Markoff triples and quasifuchsian groups
- Two-generator discrete subgroups of 𝑃𝑆𝐿(2,𝑅)
- A Proof of McShane's Identity Via Markoff Triples
- Geometry and spectra of compact Riemann surfaces
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