arXiv subjects

Edward R. Goetze

Publications and source records attributed to Edward R. Goetze.

2 recordsLinked to original sources

arXiv1999

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

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.

dg-ga↗

arXiv1996

On Livsic's Theorem, Superrigidity, and Anosov Actions of Semisimple Lie Groups

We prove a generalization of Livsic's Theorem on the vanishing of the cohomology of certain types of dynamical systems. As a consequence, we strengthen a result due to Zimmer concerning algebraic hulls of Anosov actions of semisimple Lie groups. Combining this with Topological Superrigidity, we find a Holder geometric structure for multiplicity free Anosov actions.

dg-ga↗