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Integral formula for a generalized Sato-Levine invariant in magnetic hydrodynamics

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Publication:1033957
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DOI10.1134/S0001434609030225zbMath1190.53071OpenAlexW1984618716MaRDI QIDQ1033957

O. V. Kunakovskaya, Peter M. Akhmetiev

Publication date: 10 November 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434609030225

zbMATH Keywords

linking numberLie derivativetopological invariantSato-Levine invariantgradient fieldmagnetic hydrodynamicsMassey productoriented magnetic tube


Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Integral geometry (53C65)


Related Items

The Godbillon-Vey invariant as topological vorticity compression and obstruction to steady flow in ideal fluids, On Arnold's problem on higher analogs of the asymptotic Hopf invariant



Cites Work

  • Unnamed Item
  • Unnamed Item
  • On a new integral formula for an invariant of 3-component oriented links
  • Remark on the dissipation of the magnetic helicity integral
  • Topology of linked defects in condensed matter
  • A fourth-order topological invariant of magnetic or vortex lines
  • Delta link homotopy for two component links
  • Link Invariants of Electromagnetic Fields
  • Third-order braid invariants
  • Towards a third-order topological invariant for magnetic fields
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