Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 42, 2017, 627-648
University of
Shizuoka, School of Management and Information
52-1 Yada, Suruga-ku, Shizuoka 422-8526, Japan;
amano.m.ab 'at' u-shizuoka-ken.ac.jp
Abstract. In this paper, we give a parametrization of asymptotic Jenkins–Strebel rays. It is a kind of global coordinates of the Teichmüller space. For any admissible curve family of a surface, the subset of the boundary of the Teichmüller space which is constructed by pinching of the given curve family can be determined. There exists a homeomorphism of the product of the boundary space and several parameter spaces onto the Teichmüller space such that each family of asymptotic Jenkins–Strebel rays is represented by the parameters.
2010 Mathematics Subject Classification: Primary 32G15; Secondary 30F60.
Key words: Teichmüller space, Teichmüller distance, Teichmüller geodesic, Jenkins–Strebel ray, Teichmüller disk.
Reference to this article: M. Amano: A global coordinate of the Teichmüller space related to asymptotic Jenkins–Strebel rays. Ann. Acad. Sci. Fenn. Math. 42 (2017), 627-648.
https://doi.org/10.5186/aasfm.2017.4241
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