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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148771Let G be a connected semisimple Lie group without compact factors whose real rank is at least 2, and let Γ\subset G be an irreducible lattice. We provide a C^\infty classification for volume-preserving Cartan actions of Γand 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.31 pages, published versionDifferential GeometrySmooth classification of Cartan actions of higher rank semisimple Lie groups and their latticestext