Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Coarse classification of constant mean curvature cylinders


Authors: J. Dorfmeister and S.-P. Kobayashi
Journal: Trans. Amer. Math. Soc. 359 (2007), 2483-2500
MSC (2000): Primary 53A10
Published electronically: January 4, 2007
MathSciNet review: 2286041
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We give a coarse classification of constant mean curvature (CMC) immersions of cylinders into $ \mathbb{R}^3$ 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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 53A10

Retrieve articles in all journals with MSC (2000): 53A10


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: http://dx.doi.org/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
Published electronically: January 4, 2007
Additional Notes: The first author acknowledges support by DFG
The second author was fully supported by DFG grant DO776/1.
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.