Ensembles invariants des flots géodésiques des variétés localement symétriques
Identifieur interne : 001B49 ( Main/Exploration ); précédent : 001B48; suivant : 001B50Ensembles invariants des flots géodésiques des variétés localement symétriques
Auteurs : A. Zeghib [France]Source :
- Ergodic Theory and Dynamical Systems [ 0143-3857 ] ; 1995-04.
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.
Url:
DOI: 10.1017/S0143385700008439
Affiliations:
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<front><div type="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.</div>
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