Existence of ruled wrappings in hyperbolic 3-manifolds

被引：16

作者：

Soma, Teruhiko ^{[1
]}

机构：

[1] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Hachioji, Tokyo 1920397, Japan

来源：

GEOMETRY & TOPOLOGY | 2006年 / 10卷

关键词：

D O I：

10.2140/gt.2006.10.1173

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a short elementary proof of an existence theorem of certain CAT(1) surfaces in open hyperbolic 3-manifolds. The main construction lemma in Calegari and Gabai's proof of Marden's Tameness Conjecture can be replaced by an applicable version of our theorem. Finally, we will give a short proof of the conjecture along their ideas.

引用

页码：1173 / 1184

页数：12

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