Smooth classification of Cartan actions of higher rank semisimple Lie groups and their lattices

被引：12

作者：

Goetze, ER ^{[1
]}

Spatzier, RJ ^{[1
]}

机构：

[1] Univ Michigan, Ann Arbor, MI 48109 USA

来源：

ANNALS OF MATHEMATICS | 1999年 / 150卷 / 03期

关键词：

D O I：

10.2307/121055

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a connected semisimple Lie group without compact factors ts;hose real rank is at least 2, and let Gamma subset of G be an irreducible lattice. We provide a C-infinity classification for volume-preserving Cartan actions of Gamma and G. Also, if G has real rank at least 3, we provide a C-infinity classification for volume-preserving, multiplicity free, trellised, Anosov actions on compact manifolds.

引用

页码：743 / 773

页数：31

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