## On behavior of pairs of Teichmüller geodesic rays

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- by Masanori Amano PDF
- Conform. Geom. Dyn.
**18**(2014), 8-30 Request permission

## Abstract:

In this paper, we obtain the explicit limit value of the Teichmüller distance between two Teichmüller geodesic rays which are determined by Jenkins-Strebel differentials having a common end point in the augmented Teichmüller space. Furthermore, we also obtain a condition under which these two rays are asymptotic. This is similar to a result of Farb and Masur.## References

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## Additional Information

**Masanori Amano**- Affiliation: Department of Mathematics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguroku, Tokyo 152-8551, Japan
- Email: amano.m.ab@m.titech.ac.jp
- Received by editor(s): April 18, 2013
- Received by editor(s) in revised form: August 7, 2013, and September 11, 2013
- Published electronically: February 6, 2014
- © Copyright 2014 American Mathematical Society
- Journal: Conform. Geom. Dyn.
**18**(2014), 8-30 - MSC (2010): Primary ~32G15; Secondary ~30F60
- DOI: https://doi.org/10.1090/S1088-4173-2014-00261-6
- MathSciNet review: 3162997