On behavior of pairs of Teichm\'{u}ller geodesic rays

Autor: Amano, Masanori
Rok vydání: 2013
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, we obtain the explicit limit value of the Teichm\"{u}ller distance between two Teichm\"{u}ller geodesic rays which are determined by Jenkins-Strebel differentials having a common end point on the augmented Teichm\"{u}ller space. Furthermore, we also obtain a condition under which these two rays are asymptotic. This is similar to a result of Farb and Masur.
Comment: 25 pages, 2 figures
Databáze: arXiv