Author:
Enciso Alberto,Peralta-Salas Daniel,de Lizaur Francisco Torres
Abstract
We prove that any regular integral invariant of volume-preserving transformations is equivalent to the helicity. Specifically, given a functional ℐ defined on exact divergence-free vector fields of class C1 on a compact 3-manifold that is associated with a well-behaved integral kernel, we prove that ℐ is invariant under arbitrary volume-preserving diffeomorphisms if and only if it is a function of the helicity.
Publisher
Proceedings of the National Academy of Sciences
Cited by
37 articles.
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