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The Quarterly Journal of Mathematics Advance Access published online on March 16, 2006
The Quarterly Journal of Mathematics, doi:10.1093/qmath/hal005
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© The author 2006. Published by Oxford University Press. All rights reserved
Received August 12, 2005

Article

Equivariant harmonic cylinders

F. E. Burstall 1 * and M. Kilian 1 *

1 Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK

* To whom correspondence should be addressed.
F. E. Burstall, E-mail: feb{at}maths.bath.ac.uk


  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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