173
Views
3
CrossRef citations to date
0
Altmetric
Articles

Obstructions imposed by the Poincaré–Brouwer (“hairy ball”) theorem on the propagation of electromagnetic waves

Pages 1049-1053 | Received 29 Dec 2015, Accepted 17 Mar 2016, Published online: 04 May 2016

References

  • Nakahara M. Geometry, topology and physics. Bristol and Philadelphia: IOP; 2003. p. 120–160.
  • Eisenberg M, Guy R. A proof of the hairy ball theorem. Am. Math. Monthly. 1979;86:571–574.10.2307/2320587
  • Milnor J. Analytic proofs of the “hairy ball theorem” and the brouwer fixed point theorem. Am. Math. Monthly. 1978;85:521–524.10.2307/2320860
  • Pickover CA. The Mαth βook. Sterling, NY; 2009.
  • Modes CD, Warner M. Responsive nematic solid shells: topology, compatibility, and shape. EPL (Europhys. Lett.) 2012;97:36007.10.1209/0295-5075/97/36007
  • DeVries GA, Brunnbauer M, Hu Y, et al. Divalent metal nanoparticles. Science. 2007;315:358–361.10.1126/science.1133162
  • Layer M, Forgan EM. Magnetic flux lines in type-II superconductors and the “hairy ball” theorem. Nat. Comm. 2010;45:1–4.
  • Bormashenko E. Colloids & Interface. Sci. Commun. 2015;2015:5–7.
  • Gies H, Lippoldt S. Global surpluses of spin-base invariant fermions. Phys. Lett. B. 2015;743:415–419.
  • Bormashenko E, Kazachkov A. Geometric optics and the “hairy ball theorem”, accepted for publication. Results Phys. 2016;6:76–77. doi:10.1016/j.rinp.2015.11.009.
  • Griffiths DJ. Introduction to Electrodynamics. San Francisco (CA): Prentice Hall; 1999.
  • Born M, Wolf E. Principles of optics. Cambridge: Cambridge University Press; 1999.10.1017/CBO9781139644181
  • Landau LD, Lifshitz EM. Electrodynamics of continuous media (Volume 8 of A course of theoretical physics). Oxford: Pergamon Press; 1960. p. 292–300.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.