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

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

1996-06-21

arxiv.org/abs/dg-ga/9606010v2

Ann. of Math. (2) 150 (1999), no. 3, 743-773

Mathematics

Differential Geometry

31 pages, published version

Scientific paper

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

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