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Hopf maps as static solutions of the complex eikonal equation
release_nraah5ulqfcoje2ya3jdnf2ype
by
C. Adam
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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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arXiv
math-ph/0312031v1
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