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The rotational Killing vector fields have divergence zero, so they define magnetic vector fields in a Euclidean space. Thus, a natural problem is to know the dynamics of charges under the influence of those fields in \(M=\mathbb {R}^3-\{z-\mathrm {axis}\}\) .

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The Hasimoto Transformation

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  • 发表日期：

    2025年

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  • Angel Ferrandez Izquierdo

摘要

The rotational Killing vector fields have divergence zero, so they define magnetic vector fields in a Euclidean space. Thus, a natural problem is to know the dynamics of charges under the influence of those fields in \(M=\mathbb {R}^3-\{z-\mathrm {axis}\}\) .