On Arnold's problem on higher analogs of the asymptotic Hopf invariant

DOI10.1007/s10958-015-2420-7zbMath1329.55013OpenAlexW598746349MaRDI QIDQ747090

Peter M. Akhmetiev

Publication date: 23 October 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2420-7

zbMATH Keywords

magnetic fieldlinking numberergodic theoremhelicityasymptotic Hopf invariant

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Dynamics induced by flows and semiflows (37C10) Hopf invariants (55Q25)

Related Items (3)

Knot invariants in geodesic flows ⋮ On a higher integral invariant for closed magnetic lines, revisited ⋮ Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence

Cites Work

• Unnamed Item
• On a higher integral invariant for closed magnetic lines
• On a new integral formula for an invariant of 3-component oriented links
• Quadratic helicities and the energy of magnetic fields
• Integral formula for a generalized Sato-Levine invariant in magnetic hydrodynamics

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