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

• 成果类型: Article
• 署名作者: Goetze, ER; Spatzier, RJ
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/121055
• 发表日期: 1999
• 页码: 743-773
• 关键词: anosov actions; infinitesimal rigidity; preserving actions; global rigidity; superrigidity; Connection; tori

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.