Asymptotic behavior of grafting rays

作者：Diaz Raquel^*; Kim Inkang

来源：Geometriae Dedicata, 2012, 158(1): 267-281.

DOI：10.1007/s10711-011-9632-x

• Projective structure
• Hyperbolic structure
• Grafting
• Teichmuller space

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 rays grafted along a weighted system of simple closed curves are at bounded distance from Teichmuller geodesics.

• 出版日期2012-6