Covering properties of meromorphic functions, negative curvature and spherical geometry
成果类型：
Article
署名作者：
Bonk, M; Eremenko, A
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.2307/2661392
发表日期：
2000
页码：
551-592
关键词：
摘要：
Every nonconstant meromorphic function in the plane univalently covers spherical discs of radii arbitrarily close to arctan root8 approximate to 70 degrees 32'. If in addition all critical points of the function are multiple, then a similar statement holds with pi /2. These constants are the best possible. The proof is based on the consideration of negatively curved singular surfaces associated with meromorphic functions.