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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Anatole Katok, Ralph J. Spatzier (1994)
Publications Mathématiques de l'IHÉS
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R. Feres, F. Labourie (1998)
Annales scientifiques de l'École Normale Supérieure
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Furman, Alex (1999)
Annals of Mathematics. Second Series
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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.
Robert Zimmer (1984)
Publications Mathématiques de l'IHÉS
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Gilles Chatelet, Harold Rosenberg (1974)
Publications Mathématiques de l'IHÉS
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S. Klimek, W. Kondracki, W. Oledzki, P. Sadowski (1988)
Compositio Mathematica
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Joseph F. Plante (1984)
Annales de l'institut Fourier
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We consider groups of diffeomorphisms of the closed half-line which fix only the end point. When the group is a Lie group it is isomorphic to a subgroup of the affine group. On the other hand, when the group is isomorphic to a discrete subgroup of a solvable Lie group it is topologically equivalent to a subgroup of the affine group.