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Applications harmoniques de \(B^ 3\) dans \(S^ 2\) ayant une ligne de singularités. (Harmonic maps from \(B^ 3\) into \(S^ 2\) having a line of singularities). (French. Abridged English version) Zbl 0760.49025

Summary: For any segment of the \(z\) axis, included in \(B^ 3\), we construct axially symmetric harmonic maps from \(B^ 3\) into \(S^ 2\) whose singular set is exactly that segment.

MSC:

49Q15 Geometric measure and integration theory, integral and normal currents in optimization
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