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Equivariant harmonic cylinders

F. E. Burstall, M. Kilian

math.DGarXiv:math/0507474

Abstract

We prove that a primitive harmonic map is equivariant if and only if it admits a holomorphic potential of degree one. We investigate when the equivariant harmonic map is periodic, and as an application discuss constant mean curvature cylinders with screw motion symmetries.

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