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arXiv 1111.1923math.SGmath.DS
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环中的Hessel范数和圆盘平移

Hofer's norm and disk translations in an annulus

Michael Khanevsky

摘要:

设D是环A中的不可移动圆盘。设g是紧支撑Hamilton算子,它使D保持平移数n.我们证明了对于某个常数c,Hessel范数|g|由cn从下有界.我们还给出了这种哈密顿量的例子,它比D的明显旋转更有效。

英文摘要:

Let D be a non-displaceable disk in an annulus A. Suppose that g is a compactly supported Hamiltonian which preserves D with translation number n. We show that Hofer's norm |g| is bounded from below by cn for a certain constant c. We also give example of such Hamiltonian which is more efficient than the obvious rotation of D.

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。

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