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

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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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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/152143

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9606009
 http://arxiv.org/abs/dg-ga/9606009

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arXiv