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
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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 , ~Mathematical Sciences- Journal Articles~
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.