Equivariant harmonic cylinders

F. E. Burstall; M. Kilian

doi:10.1093/qmath/hal005

Equivariant harmonic cylinders

F. E. Burstall
, M. Kilian

University of Bath, Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	449-468
Number of pages	20
Journal	Quarterly Journal of Mathematics
Volume	57
Issue number	4
DOIs	https://doi.org/10.1093/qmath/hal005
Publication status	Published - Dec 2006
Externally published	Yes

Access to Document

10.1093/qmath/hal005

Cite this

@article{ef6b5db67ff448b798d2978c33b22b94,

title = "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.",

author = "Burstall, \{F. E.\} and M. Kilian",

year = "2006",

month = dec,

doi = "10.1093/qmath/hal005",

language = "English",

volume = "57",

pages = "449--468",

journal = "Quarterly Journal of Mathematics",

issn = "0033-5606",

publisher = "Oxford University Press",

number = "4",

}

TY - JOUR

T1 - Equivariant harmonic cylinders

AU - Burstall, F. E.

AU - Kilian, M.

PY - 2006/12

Y1 - 2006/12

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/33845414161

U2 - 10.1093/qmath/hal005

DO - 10.1093/qmath/hal005

M3 - Article

AN - SCOPUS:33845414161

SN - 0033-5606

VL - 57

SP - 449

EP - 468

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

IS - 4

ER -

Equivariant harmonic cylinders

Abstract

Access to Document

Other files and links

Fingerprint

Cite this