论文标题
有界的大地图像定理通过双色曲线
Bounded geodesic image theorem via bicorn curves
论文作者
论文摘要
我们给出了封闭的面向表面的有界大地图像定理的均匀结合。证明利用Przytycki和Sisto引入的双色曲线（请参阅Arxiv：1502.02176）。在双色路径的均匀界限的距离距离距离双角曲线三角形的距离，我们能够显示出非隔nular和环形子图的绑定为44。在特殊情况下，当地下表面（或核心）（如果是环形）为$ \ geq 18 $之间的距离之间的距离时，绑定的界限可能很小，则可以与Masur and Minsky的激励示例中的界限相当（请参阅ARXIV：9807150），并且与web subs for nor-normull-ann becs of nor-ann-narm byand。
We give a uniform bound of the bounded geodesic image theorem for the closed oriented surfaces. The proof utilizes the bicorn curves introduced by Przytycki and Sisto (see arXiv:1502.02176). With the uniformly bounded Hausdorff distance of the bicorn paths and 1-slimness of the bicorn curve triangles, we are able to show the bound is 44 for both non-annular and annular subsurfaces. In a particular case when the distance between a geodesic and an essential boundary component of subsurface (or core if it is annular) is $\geq 18$, then the bound can be as small as 3, which is comparable to the bound 4 in the motivating examples by Masur and Minsky (see arXiv:9807150), and is same as the bound given by Webb for non-annular subsurfaces.
