A steady Euler flow on the 3-sphere and its associated Faddeev-Skyrme solution
Differential Geometry
2024-01-19 v4 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We present a steady Euler flow on the round 3-sphere whose velocity vector field has the property of having two independent first integrals, being tangent to the fibres of an almost submersion onto the 2-sphere. This submersion turns out to be a critical point for the quartic Faddeev-Skyrme model with a standard potential.
Cite
@article{arxiv.1909.09054,
title = {A steady Euler flow on the 3-sphere and its associated Faddeev-Skyrme solution},
author = {Radu Slobodeanu},
journal= {arXiv preprint arXiv:1909.09054},
year = {2024}
}
Comments
9 pages; typos corrected