On behavior of pairs of Teichmüller geodesic rays

Amano, Masanori

doi:10.1090/S1088-4173-2014-00261-6

On behavior of pairs of Teichmüller geodesic rays
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by Masanori Amano

Conform. Geom. Dyn. 18 (2014), 8-30

DOI: https://doi.org/10.1090/S1088-4173-2014-00261-6

Published electronically: February 6, 2014

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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.

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