Slowly divergent geodesics in moduli space
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- by Yitwah Cheung
- Conform. Geom. Dyn. 8 (2004), 167-189
- DOI: https://doi.org/10.1090/S1088-4173-04-00113-4
- Published electronically: November 17, 2004
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Abstract:
Slowly divergent Teichmüller geodesics in the moduli space of Riemann surfaces of genus $g\geq 2$ are constructed via cyclic branched covers of the torus. Nonergodic examples (i.e. geodesics whose defining quadratic differential has nonergodic vertical foliation) diverging to infinity at sublinear rates are constructed using a Diophantine condition. Examples with an arbitrarily slow prescribed rate of divergence are also exhibited.References
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Bibliographic Information
- Yitwah Cheung
- Affiliation: Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, Illinois 60208-2730
- Received by editor(s): January 12, 2004
- Received by editor(s) in revised form: September 4, 2004
- Published electronically: November 17, 2004
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Conform. Geom. Dyn. 8 (2004), 167-189
- MSC (2000): Primary 37A45; Secondary 11J70
- DOI: https://doi.org/10.1090/S1088-4173-04-00113-4
- MathSciNet review: 2122525