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On behavior of pairs of Teichmüller geodesic rays

2013/04/18 by Masanori Amano, Amano, Masanori · 2 citations
Mathematics · #Analytic and geometric function theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Primary~32G15 #Secondary~30F60

paper · pdf · doi:10.48550/arxiv.1304.5027

openalex publication_date 2013/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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