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Generic measures for hyperbolic flows on non-compact spaces |
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| Authors: | Yves?Coudene mailto:yves.coudene@univ-brest.fr" title=" yves.coudene@univ-brest.fr" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Barbara?Schapira |
| Affiliation: | (1) Department of Mathematics, University of Houston, Houston, USA;(2) Department of Mathematics, University of North Carolina, Chapel Hill, USA; |
| Abstract: | We consider the geodesic flow on a complete connected negatively curved manifold. We show that the set of invariant borel probability measures contains a dense G δ -subset consisting of ergodic measures fully supported on the non-wandering set. We also treat the case of non-positively curved manifolds and provide general tools to deal with hyperbolic systems defined on non-compact spaces. |
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