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Ensembles invariants des flots géodésiques des variétés localement symétriques
Published online by Cambridge University Press: 19 September 2008
Abstract
We study the rectifiable invariant subsets of algebraic dynamical systems determined by ℝ-semisimple one parameter groups. We show that their ergodic components are algebraic. A more precise geometric description of these components is possible in some cases of geodesic flows of locally symmetric spaces with non-positive curvature.
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