Waist size for cusps in hyperbolic 3-manifolds

被引：17
|
作者：
Adam, CC [1 ]
机构：
[1] Williams Coll, Bronfman Sci Ctr, Dept Math, Williamstown, MA 01267 USA
来源：
TOPOLOGY | 2002年 / 41卷 / 02期
基金：
美国国家科学基金会;
关键词：
hyperbolic; 3-manifold; cusp; figure-eight knot; waist size;
D O I：
10.1016/S0040-9383(00)00034-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The waist size of a cusp in an orientable hyperbolic 3-manifold is the length of the shortest nontrivial curve in the maximal cusp boundary generated by a parabolic isometry. A variety of results on waist size are proved. In particular, it is shown that the smallest possible waist size, which is 1, is realized only by the cusp in the figure-eight knot complement. (C) 2001 Elsevier Science Ltd. All rights reserved.
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页码：257 / 270
页数：14
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