Hopf maps as static solutions of the complex eikonal equation
نویسندگان
چکیده
منابع مشابه
Hopf maps as static solutions of the complex eikonal equation
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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Article history: Received 19 November 2013 Received in revised form 22 June 2014 Accepted 6 November 2014 Available online 13 November 2014
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2004
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1792931