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Díaz Sánchez, Raquel and Inkang, Kim (2012) Asymptotic behabior of grafting rays. Geometriae dedicata, 158 (1). pp. 267-281. ISSN 1572-9168
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Official URL: http://www.springerlink.com/content/k305h1856v7g3128/fulltext.pdf
Abstract
In this paper we study the convergence behavior of grafting rays to the Thurston boundary of Teichmuller space. When the grafting is done along a weighted system of simple closed curves or along a maximal uniquely ergodic lamination this behavior is the same as for Teichmuller geodesics and lines of minima. We also show that the ray grafted along a weighted system of simple closed curves is at bounded distance from Teichmuller geodesic.
Item Type: | Article |
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Uncontrolled Keywords: | Projective structure; Hyperbolic structure; Grafting; Teichmüller space |
Subjects: | Sciences > Mathematics > Geometry |
ID Code: | 15717 |
Deposited On: | 21 Jun 2012 11:10 |
Last Modified: | 18 Feb 2019 12:35 |
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