TWO-SIDED ASYMPTOTIC BOUNDS FOR THE COMPLEXITY OF SOME CLOSED HYPERBOLIC THREE-MANIFOLDS

被引：23
|
作者：
Matveev, Sergei [2 ]
Petronio, Carlo [1 ]
Vesnin, Andrei [3 ]
机构：
[1] Univ Pisa, Dipartimento Matemat Applicata, I-56127 Pisa, Italy
[2] Chelyabinsk State Univ, Chelyabinsk 454021, Russia
[3] Sobolev Inst Math, Novosibirsk 630090, Russia
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2009年 / 86卷 / 02期
关键词：
3-manifolds; complexity; hyperbolic geometry; 3-DIMENSIONAL MANIFOLDS;
D O I：
10.1017/S1446788708000499
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish two-sided bounds for the complexity of two infinite series of closed orientable three-dimensional hyperbolic manifolds, the Lobell manifolds and the Fibonacci manifolds. The manifolds of the two series are indexed by an integer n and the corresponding complexity estimates are both linear in n.
引用
收藏
页码：205 / 219
页数：15
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