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We consider the geodesic flow on a complete connected negatively curvedmanifold. We show that the set of invariant borel probability measures containsa dense $G_\delta$-subset consisting of ergodic measures fully supported on thenon-wandering set. We also trat the case of non-positively curved manifolds andprovide general tools to deal with hyperbolic systems defined on non-compactspaces.

Generic measures for hyperbolic flows on non compact spaces