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arXiv · 0707.2515

Generic measures for hyperbolic flows on non compact spaces

Yves Coudene·Barbara Schapira
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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 trat 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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Yves Coudene, Barbara Schapira. 2007-07-17. Generic measures for hyperbolic flows on non compact spaces. https://arxiv.org/abs/0707.2515

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