Equivariant harmonic cylinders

Details Equivariant harmonic cylinders Equivariant harmonic cylinders

2005-07-22

arxiv.org/abs/math/0507474v1

Quarterly J. Math 57 (2006) 449-468

Mathematics

Differential Geometry

Scientific paper

10.1093/qmath/hal005

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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