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

Edward R. Goetze; Ralf J. Spatzier

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arXiv · dg-ga/9606010

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

Edward R. Goetze·Ralf J. Spatzier

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Abstract

Let 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.

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BibTeX RIS

Edward R. Goetze, Ralf J. Spatzier. 1999-11-01. Smooth classification of Cartan actions of higher rank semisimple Lie groups and their lattices. https://arxiv.org/abs/dg-ga/9606010

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