Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level
Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level
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DOI：
10.4171/jems/674
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发表时间：
2014-04
影响因子：
2.6
通讯作者：
Alberto Abbondandolo;Leonardo Macarini;M. Mazzucchelli;G. Paternain
中科院分区：
文献类型：
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作者：
Alberto Abbondandolo;Leonardo Macarini;M. Mazzucchelli;G. Paternain
我们考虑闭曲面切丛上的精确磁流。证明了在万能覆盖的Man临界值以下，几乎每个能级都有无穷多个能量为$kappa的周期轨道。
We consider an exact magnetic flow on the tangent bundle of a closed surface. We prove that for almost every energy level $\kappa$ below the Ma\~n\'e critical value of the universal cover there are infinitely many periodic orbits with energy $\kappa$.