论文标题
汉密尔顿作用的palais-smale条件在cotangent束和应用中的循环的混合规则空间
The Palais-Smale condition for the Hamiltonian action on a mixed regularity space of loops in cotangent bundles and applications
论文作者
论文摘要
我们表明，汉密尔顿的动作满足了cotangangent束中的“混合规律性”空间的宫殿，即具有规律性$ h^s $，$ s \ in（\ frac 12，1）$的循环空间，底座和$ h^{1-s} $在光纤方向上。作为应用程序，我们提供了Hofer-Viterbo定理的简化证明，内容涉及在Cotangent束中某些接触类型Hypersuface的封闭特征叶子的存在。
We show that the Hamiltonian action satisfies the Palais-Smale condition over a "mixed regularity" space of loops in cotangent bundles, namely the space of loops with regularity $H^s$, $s\in (\frac 12, 1)$, in the base and $H^{1-s}$ in the fiber direction. As an application, we give a simplified proof of a theorem of Hofer-Viterbo on the existence of closed characteristic leaves for certain contact type hypersufaces in cotangent bundles.
