LINES OF MINIMA IN OUTER SPACE

被引：7

作者：

Hamenstaedt, Ursula ^{[1
]}

机构：

[1] Univ Bonn, Math Inst, D-53115 Bonn, Germany

来源：

DUKE MATHEMATICAL JOURNAL | 2014年 / 163卷 / 04期

关键词：

IRREDUCIBLE AUTOMORPHISMS; ISOMETRY GROUPS; LAMINATIONS; CURRENTS; TREES; BOUNDARY; DYNAMICS; COMPLEX;

D O I：

10.1215/00127094-2429807

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define lines of minima in the thick part of outer space for the free group F-n with n >= 3 generators. We show that these lines of minima are contracting for the Lipschitz metric. Every fully irreducible outer automorphism of F-n defines such a line of minima. Now let Gamma be a subgroup of the outer automorphism group of F-n which is not virtually abelian. We obtain that if Gamma contains at least one fully irreducible element, then for every p is an element of (1, infinity) the second bounded cohomology group H-b(2)(Gamma, l(p) (Gamma)) is infinite-dimensional.

引用

页码：733 / 776

页数：44

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