科研之友
微信
新浪微博
Facebook
分享链接
摘要
We show that any grafting ray in Teichmuller space is (strongly) asymptotic to some Teichmuller geodesic ray. Given a grafting ray, we define its limiting surface, and a conformally equivalent singular-flat surface of infinite area that represents the limit of the desired Teichmuller ray. The proof involves building quasiconformal maps of low dilatation between the surfaces along the rays. Our preceding work had proved the result for rays determined by an arational lamination or a multicurve, and the unified approach here gives an alternative proof of the former case.
- 出版日期2015-6
