Asymptotic properties of coverings in negative curvature
نویسندگان
چکیده
منابع مشابه
Covering properties of meromorphic functions, negative curvature and spherical geometry
Every nonconstant meromorphic function in the plane univalently covers spherical discs of radii arbitrarily close to arctan √ 8 ≈ 7032 . If in addition all critical points of the function are multiple, then a similar statement holds with π/2. These constants are the best possible. The proof is based on the consideration of negatively curved singular surfaces associated with meromorphic functions.
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2008
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2008.12.617