Link Invariants of Electromagnetic Fields

Physical Review Letters

Volumn 92, Issue 3, 2004, Pages 304061-304064

  Bodecker, Hanno V ^a   Hornig, Gunnar ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DC GENERATORS; ELECTRIC CONNECTORS; FLUID DYNAMICS; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; TENSORS; VECTORS;

CROSS HELICITY; INDUCTION EQUATION; PLASMA PHYSICS;

ELECTROMAGNETIC FIELDS;

EID: 1442286937     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. H. Moffatt, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge University Press, Cambridge, 1978).
2. Magnetic Helicity in Space and Laboratory Plasmas, edited by M.R. Brown, R.C. Canfield, and A.A. Pevtsov, Geophysical Monograph Series Vol. 111 (AGU, Washington, D.C., 1999).
3. V. I. Arnol'd, Sel. Math. Sov. 5, 327 (1986).
4. M. H. Freedman, J. Fluid Mech. 194, 549 (1988).
5. M. H. Freedman and Z.-X. He, Topology 30, 283 (1991).
6. M. A. Berger, Phys. Rev. Lett. 70, 705 (1993).
7. S. Novikov, Russ. Math. Surv. 39, 113 (1984).
8. B. Khesin, J. Geom. Phys. 9, 101 (1992).
9. V. Arnol'd and B. Khesin, Topological Methods in Hydrodynamics, Applied Mathematical Sciences Vol. 125 (Springer, New York, 1998).
10. T. Rivière, Asian J. Math. 6, 505 (2002).
11. B. Khesin, Centre de Mathématiques Ecole Polytechnique Report No. 2003-10, Paris (unpublished).
12. G. Hornig and C. Mayer, J. Phys. A 35, 3945 (2002).
13. T. Vogel, Proc. Am. Math. Soc. 131, 2289 (2003).
14. G. Hornig, in An Introduction to the Geometry and Topology of Fluid Flows, edited by R. Ricca (Kluwer, Dordrecht, 2001), pp. 295-313.
15. M. A. Berger and A. Ruzmaikin, J. Geophys. Res. 105, 10481 (2000).
16. J. Carter, S. Kamada, M. Saito, and S. Satoh, Algebr. Geom. Topol. 1, 299 (2001).