Ralf J. Spatzier

Smooth classification of Cartan actions of higher rank semisimple Lie groups and their lattices (1999)

Goetze, Edward R., Spatzier, Ralf J.

Let $G$ be a connected semisimple Lie group without compact factors whose real rank is at least 2, and let $\Gamma\subset G$ be an irreducible lattice. We provide a $C^\infty$ classification for...

Smooth classification of Cartan actions of higher rank semisimple Lie groups and their lattices (1999)

Goetze, Edward R., Spatzier, Ralf J.

Anosov diffeomorphisms and flows (actions of ${\bold Z}$ and ${\bold R}$) are important in dynamics because they combine dynamical complexity with topological rigidity (structural stability): up to...

On Livšic’s theorem, superrigidity, and Anosov actions of semisimple Lie groups (1997)

Goetze, Edward R., Spatzier, Ralf J.

On Livsic's Theorem, Superrigidity, and Anosov Actions of Semisimple Lie Groups (1996)

Goetze, Edward R., Spatzier, Ralf J.

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...

Smooth classification of Cartan actions of higher rank semisimple Lie groups and their lattices (1996)

Goetze, Edward R., Spatzier, Ralf J.

Let G be a connected semisimple Lie group without compact factors whose real rank is at least 2, and let \Gamma \subset G be an irreducible lattice. We provide a C^\infty classification for...

Smooth Classification Of Cartan Actions Of Higher Rank Semisimple Lie Groups And Their Lattices (1996)

Edward R. Goetze, Ralf J. Spatzier

. Let G be a connected semisimple Lie group without compact factors whose real rank is at least 2, and let \Gamma ae G be an irreducible lattice. We provide a C 1 classification for volume preserving...

On Livsic's Theorem, Superrigidity, And Anosov Actions Of Semisimple Lie Groups (1996)

Edward R. Goetze, Ralf J. Spatzier

. 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...

Smooth Classification Of Cartan Actions Of Higher Rank Semisimple Lie Groups And Their Lattices (1996)

Edward R. Goetze, Ralf J. Spatzier

. Let G be a connected semisimple Lie group without compact factors whose real rank is at least 2, and let \Gamma ae G be an irreducible lattice. We provide a C 1 classification for volume preserving...

New examples of manifolds with completely integrable geodesic flows (1990)

Paternain, Gabriel, Spatzier, Ralf J.

We construct Riemannian manifolds with completely integrable geodesic flows, in particular various nonhomogeneous examples. The methods employed are a modification of Thimm's method, Riemannian...