期刊
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
卷 113, 期 8, 页码 2035-2040出版社
NATL ACAD SCIENCES
DOI: 10.1073/pnas.1516213113
关键词
helicity; integral invariant; volume-preserving transformation
资金
- European Research Council [633152, 335079]
- Residencia de Estudiantes
- Instituto de Ciencias Matematicas-Severo Ochoa Grant [SEV-2011-0087]
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 C-1 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.
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