A geometric criterion for the boundedness of characteristic classes

被引：5

作者：

Chatterji, Indira ^{[2
]}

Mislin, Guido ^{[3
]}

Pittet, Christophe ^{[1
]}

Saloff-Coste, Laurent ^{[4
]}

机构：

[1] CMI Univ Aix Marseille 1, Marseille, France

[2] MAPMO Univ Orleans, Orleans, France

[3] ETHZ, Dept Math, Zurich, Switzerland

[4] Cornell Univ, Dept Math, New York, NY 10021 USA

来源：

MATHEMATISCHE ANNALEN | 2011年 / 351卷 / 03期

基金：

美国国家科学基金会;

关键词：

LOCALLY COMPACT-GROUPS; NILPOTENT GROUPS; GROUP EXTENSIONS; LIE-GROUPS; COHOMOLOGY; HOMOLOGY;

D O I：

10.1007/s00208-010-0610-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for a connected Lie group G, the linearity of its radical root G (that is of its biggest connected normal solvable subgroup), is a necessary and sufficient condition for the boundedness of all Borel cohomology classes of G with integer coefficients, and that the linearity of root G is also equivalent to a large-scale geometric property of G (involving distortion).

引用

页码：541 / 569

页数：29

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