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

页码：205 / 219

页数：15

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