The Godbillon-Vey Invariant as a Restricted Casimir of Three-dimensional Ideal Fluids
arXiv:2001.01305 · doi:10.1088/1751-8121/ab8b35
Abstract
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.
8 pages