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- W2327468454 abstract "We give examples of rank one compact surfaces on which there exist recurrent geodesics that cannot be shadowed by periodic geodesics. We build rank one compact surfaces such that ergodic measures on the unit tangent bundle of the surface are not dense in the set of probability measures invariant by the geodesic flow. Finally, we give examples of complete rank one surfaces for which the non wandering set of the geodesic flow is connected, the periodic orbits are dense in that set, yet the geodesic flow is not transitive in restriction to its non wandering set." @default.
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- W2327468454 date "2011-01-01" @default.
- W2327468454 modified "2023-10-16" @default.
- W2327468454 title "Counterexamples in non-positive curvature" @default.
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- W2327468454 doi "https://doi.org/10.3934/dcds.2011.30.1095" @default.
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