哈密顿系统的退化极大值
Degenerate Maxima in Hamiltonian Systems
摘要：
本文研究了具有退化固定最大值的非自治Hamilton同构的环。我们表明，这样的循环不能完全退化固定的全球最大值。这有应用程序的哈密尔顿群几何的某些辛4流形，也给出了标准的某些4流形是uniruled。
英文摘要：
In this paper we explore loops of non-autonomous Hamiltonian diffeomorphisms with degenerate fixed maxima. We show that such loops can not have totally degenerate fixed global maxima. This has applications for the Hofer geometry of the group of Hamiltonians for certain symplectic 4 manifolds and also gives criteria for certain 4 manifolds to be uniruled.
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