Smooth classification of Cartan actions of higher rank semisimple Lie groups and their lattices
Abstract
Let G be a connected semisimple Lie group without compact factors whose real rank is at least 2, and let ⊂ G be an irreducible lattice. We provide a C∞ classification for volume-preserving Cartan actions of and G. Also, if G has real rank at least 3, we provide a C∞ classification for volume-preserving, multiplicity free, trellised, Anosov actions on compact manifolds.
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