English

Equivariant harmonic cylinders

Differential Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0507474,
  title  = {Equivariant harmonic cylinders},
  author = {F. E. Burstall and M. Kilian},
  journal= {arXiv preprint arXiv:math/0507474},
  year   = {2007}
}