Quasihyperbolic geodesics are hyperbolic quasi-geodesics
Quasihyperbolic geodesics are hyperbolic quasi-geodesics
复制标题
拟双曲测地线是双曲拟测地线
DOI：
10.4171/jems/959
复制
发表时间：
2017
影响因子：
2.6
通讯作者：
S. Buckley
中科院分区：
文献类型：
--
作者：
D. Herron;S. Buckley
这是一个用双曲或拟双曲距离描述欧氏平面域的大规模几何的故事。证明了在任意双曲平面区域中，双曲和拟双曲拟测地线是同一条曲线。我们还证明了同时Gromov双曲性的域与他们的双曲或拟双曲的距离。
This is a tale describing the large scale geometry of Euclidean plane domains with their hyperbolic or quasihyperbolic distances. We prove that in any hyperbolic plane domain, hyperbolic and quasihyperbolic quasi-geodesics are the same curves. We also demonstrate the simultaneous Gromov hyperbolicity of such domains with their hyperbolic or quasihyperbolic distances.