What are some examples of non-constant harmonic maps from Euclidean 3-space with its usual metric, punctured at a discrete set of points, to the 2-sphere with its usual metric?
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$\begingroup$ Are you specifically looking for those that surjects onto the sphere? Or those with differentials that are rank 2? (I edited in a requirement of non-constant, but there's of course still those that maps onto a single geodesic; I assume those are not interesting to you?) $\endgroup$– Willie WongCommented Feb 3 at 3:57
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$\begingroup$ @WillieWong: thanks. Yes, surjective, thanks. $\endgroup$– Ben McKayCommented Feb 3 at 9:54
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