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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## 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 |

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Deposited On: | 21 Jun 2012 11:10 |

Last Modified: | 06 Feb 2014 10:30 |

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