Journal of the Mathematical Society of Japan

Construction of non-simply connected CMC surfaces via dressing

Josef DORFMEISTER and Guido HAAK

Full-text: Open access

Abstract

We investigate surfaces of constant mean curvature with a nontrivial fundamental group in a Weierstraß type representation. As an application we construct a family of complete CMC immersions which are conformally cylinders and have umbilics.

Article information

Source
J. Math. Soc. Japan Volume 55, Number 2 (2003), 335-364.

Dates
First available in Project Euclid: 3 October 2007

Permanent link to this document
http://projecteuclid.org/euclid.jmsj/1191419120

Mathematical Reviews number (MathSciNet)
MR1961290

Zentralblatt MATH identifier
1035.53015

Digital Object Identifier
doi:10.2969/jmsj/1191419120

Subjects
Primary: 53A10: Minimal surfaces, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42]
Secondary: 53C20: Global Riemannian geometry, including pinching [See also 31C12, 58B20]

Keywords
CMC surfaces cylinders with umbilics complete dressing

Citation

DORFMEISTER, Josef; HAAK, Guido. Construction of non-simply connected CMC surfaces via dressing. J. Math. Soc. Japan 55 (2003), no. 2, 335--364. doi:10.2969/jmsj/1191419120. http://projecteuclid.org/euclid.jmsj/1191419120.


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