论文标题
光谱数量和应用的逆降低不平等现象
Inverse reduction inequalities for spectral numbers and applications
论文作者
论文摘要
我们的主要结果是证明了拉格朗日的光谱数量与其减少的光谱数之间的不平等，朝着与经典不平等相反的方向（例如，参见[vit92]）。这在“几何界限的拉格朗日人”中具有应用，从[VIT08]到频谱界限到$γ$ complettion of the coppect of coppent complection toss in specrand Bounding界面。我们还研究了频谱度量的哈密顿二型差异性的局部路径连接性。
Our main result is the proof of an inequality between the spectral numbers of a Lagrangian and the spectral numbers of its reductions, in the opposite direction to the classical inequality (see e.g [Vit92]). This has applications to the "Geometrically bounded Lagrangians are spectrally bounded" conjecture from [Vit08], to the structure of elements in the $γ$-completion of the set of exact Lagrangians. We also investigate the local path-connectedness of the set of Hamiltonian diffeomorphisms with the spectral metric.
