Immersed geodesic surfaces in hyperbolic 3-manifolds
作者:
Sadayoshi Kojima,
期刊:
Complex Variables, Theory and Application: An International Journal
(Taylor Available online 1996)
卷期:
Volume 29,
issue 1
页码: 45-58
ISSN:0278-1077
年代: 1996
DOI:10.1080/17476939608814873
出版商: Gordon and Breach Science Publishers
关键词: 53C42;57M50;30F40
数据来源: Taylor
摘要:
A closed geodesic in a hyperbolic surface with either a short common orthogonal or many self-intersections is uniformly long. We will prove analogous results for immersed geodesic surfaces in hyperbolic 3-manifolds, that the length of common orthogonal admits a universal lower bound, and that the size of self-intersection singularities has a universal upper bound, both depending only on the area of surfaces.
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