On a higher integral invariant for closed magnetic lines

DOI10.1016/j.geomphys.2013.08.017zbMath1283.35134OpenAlexW2076060024MaRDI QIDQ391055

Peter M. Akhmetiev

Publication date: 9 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2013.08.017

zbMATH Keywords

magnetic fieldhelicitya finite order invariant of classical linksthe asymptotic Hopf invariantthe Birkhoff theoremthe Gauss integral

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Foundations in optics and electromagnetic theory (78A02)

Related Items (4)

Knot invariants in geodesic flows ⋮ On a higher integral invariant for closed magnetic lines, revisited ⋮ On Arnold's problem on higher analogs of the asymptotic Hopf invariant ⋮ Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence

Cites Work

• Unnamed Item
• On a new integral formula for an invariant of 3-component oriented links
• Topological methods in hydrodynamics
• Third-order link integrals

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