Volume preserving actions of lattices in semisimple groups on compact manifolds
Robert Zimmer (1984)
Publications Mathématiques de l'IHÉS
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Displaying similar documents to “Topological superrigidity and Anosov actions of lattices”
Volume preserving actions of lattices in semisimple groups on compact manifolds
Topological conjugacy of locally free actions on -manifolds
David C. Tischler, Rosamond W. Tischler (1974)
Annales de l'institut Fourier
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For actions as in the title we associate a collection of rotation numbers. If one of them is sufficiently irrational then the action is conjugate (as an action) to either a linear action on a torus or to an action on a principal bundle over with orbits.
Invariant connections and invariant holomorphic bundles on homogeneous manifolds
Indranil Biswas, Andrei Teleman (2014)
Open Mathematics
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Let X be a differentiable manifold endowed with a transitive action α: A×X→X of a Lie group A. Let K be a Lie group. Under suitable technical assumptions, we give explicit classification theorems, in terms of explicit finite dimensional quotients, of three classes of objects: equivalence classes of α-invariant K-connections on X α-invariant gauge classes of K-connections on X, andα-invariant isomorphism classes of pairs (Q,P) consisting of a holomorphic Kℂ-bundle Q → X and a K-reduction...
First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity
Anatole Katok, Ralph J. Spatzier (1994)
Publications Mathématiques de l'IHÉS
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Smooth classification of Cartan actions of higher rank semisimple Lie groups and their lattices.
Goetze, Edward R., Spatzier, Ralf J. (1999)
Annals of Mathematics. Second Series
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A nonlinearizable action of on
Gene Freudenburg, Lucy Moser-Jauslin (2002)
Annales de l’institut Fourier
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The main purpose of this article is to give an explicit algebraic action of the group of permutations of 3 elements on affine four-dimensional complex space which is not conjugate to a linear action.
On quasihomogeneous manifolds – via Brion-Luna-Vust theorem
Marco Andreatta, Jarosław A. Wiśniewski (2003)
Bollettino dell'Unione Matematica Italiana
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We consider a smooth projective variety on which a simple algebraic group acts with an open orbit. We discuss a theorem of Brion-Luna-Vust in order to relate the action of with the induced action of on the normal bundle of a closed orbit of the action. We get effective results in case and .