Constant mean curvature surfaces of any positive genus
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Accepted Version
Date
2005-07-20
Authors
Kilian, Martin
Kobayashi, S.-P.
Rossman , W.
Schmitt, N.
Journal Title
Journal ISSN
Volume Title
Publisher
Cambridge University Press
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Abstract
The paper shows the existence of several new families of noncompact constant mean curvature surfaces: (i) singly punctured surfaces of arbitrary genus g 1, (ii) doubly punctured tori, and (iii) doubly periodic surfaces with Delaunay ends.
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Keywords
Noncompact constant mean curvature surfaces
Citation
Kilian, M., Kobayashi, S., Rossman, W. and Schmitt, N. (2005) 'Constant mean curvature surfaces of any positive genus', Journal of the London Mathematical Society, 72(1), pp. 258-272. doi:10.1112/S0024610705006472
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© 2005, London Mathematical Society. This is the accepted version of the following item: Kilian, M., Kobayashi, S., Rossman, W. and Schmitt, N. (2005) 'Constant mean curvature surfaces of any positive genus', Journal of the London Mathematical Society, 72(1), pp. 258-272, doi:10.1112/S0024610705006472. which has been published in final form at: https://doi.org/:10.1112/S0024610705006472. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.