论文标题
Godbillon-Weave不变为三维理想流体的受限卡西米尔
The Godbillon-Vey Invariant as a Restricted Casimir of Three-dimensional Ideal Fluids
论文作者
论文摘要
我们表明,对于与叶片相关的三维理想液体而言,出现了Godbillon-Vey的不变性。我们将有限的维度系统(在发生类似现象发生)进行比较。
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.