The fixed energy problem for a class of nonconvex singular Hamiltonian systems
The fixed energy problem for a class of nonconvex singular Hamiltonian systems
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DOI：
10.1016/j.jde.2006.01.021
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发表时间：
2006-11
影响因子：
2.4
通讯作者：
Carlo Carminati;É. Séré;Kazunaga Tanaka
中科院分区：
文献类型：
--
作者：
Carlo Carminati;É. Séré;Kazunaga Tanaka
本文考虑R2N中的非紧超曲面H，它是“强力”型奇异哈密顿量的能级.在H的整体几何假设下，证明了H具有闭特征，这是霍费尔和维泰博关于紧流形余切丛中的Weinstein猜想的结果.我们的定理包含，作为特殊情况下，较早的结果的固定能量问题的奇异拉格朗日系统的强力型。
We consider a noncompact hypersurface H in R2Nwhich is the energy level of a singular Hamiltonian of “strong force” type. Under global geometric assumptions on H, we prove that it carries a closed characteristic, as a consequence of a result by Hofer and Viterbo on the Weinstein conjecture in cotangent bundles of compact manifolds. Our theorem contains, as particular cases, earlier results on the fixed energy problem for singular Lagrangian systems of strong force type.