We show the Godbillon–Vey invariant arises as a ‘restricted Casimir’ invariant for three-dimensional ideal fluids associated to a foliation. We compare to a finite-dimensional system, the rattleback, where analogous phenomena occur.

中文翻译：

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Godbillon–Vey不变量作为三维理想流体的受限卡西米尔

我们显示了戈德比隆-维伊不变量作为与叶面相关的三维理想流体的“受限卡西米尔”不变量而出现。我们将其与类似现象发生的有限维系统响尾蛇作比较。