Pith. sign in

REVIEW 1 cited by

Helicity is the only integral invariant of volume-preserving transformations

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1602.04745 v1 pith:SAZMDYVX submitted 2016-02-15 math.DS math-phmath.DGmath.MP

Alberto Enciso , Daniel Peralta-Salas , Francisco Torres de Lizaur This is my paper · ORCID
classification math.DSmath-phmath.DGmath.MP
keywords helicityintegralinvariantvolume-preservingmathcalonlyprovetransformations
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We prove that any regular integral invariant of volume-preserving transformations is equivalent to the helicity. Specifically, given a functional $\mathcal I$ 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 $\mathcal I$ is invariant under arbitrary volume-preserving diffeomorphisms if and only if it is a function of the helicity.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Distribution of magnetic helicity and energy with height in solar atmosphere

    astro-ph.SR 2026-08 reject novelty 5.0 of 10

    Using 150 active regions, the paper finds helicity and energy are concentrated low in the corona and proposes an 81 Mm extrapolation cutoff for 97% retention.

Pith tools