动作选择器和Maslov类刚性
Action selectors and Maslov class rigidity
摘要:
本文研究了辛非球面辛流形的可位移拉格朗日子流形的Maslov类的新限制。这些限制是建立使用行动选择器的哈密尔顿流。特别是,我们构造和利用一个新的行动选择器的一类特殊的哈密顿函数,自然产生的哈密顿路径的研究,最小化的障碍长度功能的流动。
英文摘要:
In this paper we detect new restrictions on the Maslov class of displaceable Lagrangian submanifolds of symplectic manifolds which are symplectically aspherical. These restrictions are established using action selectors for Hamiltonian flows. In particular, we construct and utilize a new action selector for the flows of a special class of Hamiltonian functions which arises naturally in the study of Hamiltonian paths which minimize the Hofer length functional.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。