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Coarse classification of constant mean curvature cylinders
Author(s):
J.
Dorfmeister;
S.-P.
Kobayashi
Journal:
Trans. Amer. Math. Soc.
359
(2007),
2483-2500.
MSC (2000):
Primary 53A10
Posted:
January 4, 2007
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Abstract:
We give a coarse classification of constant mean curvature (CMC) immersions of cylinders into  via the loop group method. Particularly for this purpose, we consider double loop groups and a new type of ``potentials'' which are meromorphic 1-forms on Riemann surfaces.
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Additional Information:
J.
Dorfmeister
Affiliation:
Zentrum Mathematik, Technische Universität München Boltzmannstr. 3, D-85747, Garching, Germany
Email:
dorfm@ma.tum.de
S.-P.
Kobayashi
Affiliation:
School of Information Environment, Tokyo Denki University Muzai Gakuendai 2-1200 Inzai, Chiba 270-1382, Japan
Email:
shimpei@sie.dendai.ac.jp
DOI:
10.1090/S0002-9947-07-04063-9
PII:
S 0002-9947(07)04063-9
Keywords:
Constant mean curvature surfaces,
loop groups
Received by editor(s):
December 7, 2004
Posted:
January 4, 2007
Additional Notes:
The first author acknowledges support by DFG
The second author was fully supported by DFG grant DO776/1.
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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