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The Quarterly Journal of Mathematics Advance Access originally published online on March 16, 2006
The Quarterly Journal of Mathematics 2006 57(4):449-468; doi:10.1093/qmath/hal005
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© The author 2006. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

EQUIVARIANT HARMONIC CYLINDERS

F. E. Burstall{dagger} and M. Kilian

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

{dagger} Corresponding author. 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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