Hopf映射作为复程函方程的静态解
Hopf maps as static solutions of the complex eikonal equation
摘要：
证明了一类具有任意连接数的环面形Hopf映射服从静态复程函方程。此外，我们探讨这些解决方案背后的几何结构，从而解释他们存在的原因。由于这个方程在某些非线性场论中表现为可积性条件，因此这种解的存在性引起了一些兴趣。
英文摘要：
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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