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EQUIVARIANT HARMONIC CYLINDERS

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 16 Mar 2006Embargo end date: 01 Jan 2005 Germany English Publisher:Oxford University Press (OUP)Journal:The Quarterly Journal of Mathematics, volume 57, pages 449-468 (issn: 0033-5606, eissn: 1464-3847, Copyright policy )
Authors: Burstall, Francis E.; Kilian, Martin;

doi: 10.1093/qmath/hal005 , 10.48550/arxiv.math/0507474

arXiv: math/0507474

EQUIVARIANT HARMONIC CYLINDERS

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.

Country
Germany
Related Organizations
Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 510

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Top 10%
Average
Green
bronze