Counterexamples in non-positive curvature
Counterexamples in non-positive curvature
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非正曲率的反例
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Barbara Schapira
中科院分区：
文献类型：
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作者：
Yves Coudène;Barbara Schapira
我们给出了存在递归的秩1紧曲面的例子
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.