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

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

1996-06-21

arxiv.org/abs/dg-ga/9606009v1

Mathematics

Differential Geometry

Scientific paper

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.

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