This paper is a survey on the Zimmer program. In its broadest form, this program seeks an
understanding of actions of large groups on compact manifolds. The goals of this survey are …

Super Stable Kählerian Horseshoe? | SpringerLink Skip to main content Advertisement
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We announce a generalization of Zimmer's cocycle superrigidity theorem proven using
harmonic map techniques. This allows us to generalize many results concerning higher-rank …

We study $\mathbb {R}^ k\times\mathbb {Z}^\ell $ actions on arbitrary compact manifolds
with a projectively dense set of Anosov elements and 1-dimensional coarse Lyapunov …

Consider a volume preserving Anosov $ C^\infty $ action $\alpha $ on a compact manifold $
X $ by semisimple Lie groups with all simple factors of real rank at least 2. More precisely we …

We study $\mathbb {R}^ k\times\mathbb {Z}^\ell $ actions on arbitrary compact manifolds
with a projectively dense set of Anosov elements and 1-dimensional coarse Lyapunov …

Rigidity Theorems for Higher Rank Lattice Actions | Geometric and Functional Analysis Skip to
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Let\alpha_0 be an affine action of a discrete group\Gamma on a compact homogeneous
space X and\alpha_1 a smooth action of\Gamma on X which is C^ 1-close to\alpha_0. We …