Geometriae Dedicata

, Volume 144, Issue 1, pp 191–210 | Cite as

Criteria for the divergence of pairs of Teichmüller geodesics

Article

Abstract

We study the asymptotic geometry of Teichmüller geodesic rays. We show that, when the transverse measures to the vertical foliations of the quadratic differentials determining two different rays are topologically equivalent, but are not absolutely continuous with respect to each other, the rays diverge in Teichmüller space.

Keywords

Teichmüller space Divergent geodesics Extremal length Ergodic 

Mathematics Subject Classification (2000)

32G15 37A25 

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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA
  2. 2.Department of MathematicsUniversity of ChicagoChicagoUSA

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