Hopf maps as static solutions of the complex eikonal equation release_nraah5ulqfcoje2ya3jdnf2ype

by C. Adam

Released as a article .

2003  

Abstract

We demonstrate that a class of torus-shaped Hopf maps with arbitrary linking number obeys the static complex eikonal equation. Further, we explore the geometric structure behind these solutions, explaining thereby the reason for their existence. As this equation shows up as an integrability condition in certain non-linear field theories, the existence of such solutions is of some interest.
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Type  article
Stage   submitted
Date   2003-12-10
Version   v1
Language   en ?
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