Transitivity properties of the horocyclic and geodesic flows on moduli space

DOI10.1007/BF02803327zbMath0476.32028MaRDI QIDQ1160319

Howard A. Masur

Publication date: 1981

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

moduli spacegeodesic flowTeichmueller spacehorocyclic flowholomorphic quadratic differentialsTeichmueller modular group

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Geodesics in global differential geometry (53C22) Differentials on Riemann surfaces (30F30)

Related Items

Teichmüller geodesics of infinite complexity., On groups generated by two positive multi-twists: Teichmüller curves and Lehmer's number, Extremal length estimates and product regions in Teichmüller space, Horospheres in Teichmüller space and mapping class group, Totally geodesic homeomorphisms between Teichmüller spaces, Ergodic Actions of the Mapping Class Group, Billiards and Teichmüller curves on Hilbert modular surfaces, Two algorithms for closed horocycles on the modular surface, Divergence of geodesics in Teichmüller space and the mapping class group

Cites Work

• Quadratic differentials and foliations
• The asymptotic geometry of Teichmüller space
• On a class of geodesics in Teichmüller space
• An extremal problem for quasiconformal mappings and a theorem by Thurston
• Fuchsian groups and transitive horocycles
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