On behavior of pairs of Teichmüller geodesic rays

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 on 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.

25 pages, 2 figures

References in corpus (2)

• The horofunction compactification of Teichmüller metric
• Extremal length boundary of Teichmüller space contains non-Busemann points