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CONSTANT MEAN CURVATURE SURFACES OF ANY POSITIVE GENUS

Published online by Cambridge University Press:  20 July 2005

M. KILIAN ,
S.-P. KOBAYASHI ,
W. ROSSMAN  and
N. SCHMITT
M. KILIAN
Affiliation:
Mathematical Sciences, University of Bath, Bath BA2 7AY, United [email protected]
S.-P. KOBAYASHI
Affiliation:
Department of Mathematics, Kobe University, Rokko Kobe 657-8501, [email protected], [email protected]
W. ROSSMAN
Affiliation:
Department of Mathematics, Kobe University, Rokko Kobe 657-8501, [email protected], [email protected]
N. SCHMITT
Affiliation:
Institut für Mathematik, Technische Universität Berlin, Straße des 17 Juni 136, 10623 Berlin, [email protected]
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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 $g\,{\geq}\,1$, (ii) doubly punctured tori, and (iii) doubly periodic surfaces with Delaunay ends.

Keywords

53A10
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 72 , Issue 1 , August 2005 , pp. 258 - 272
Copyright
The London Mathematical Society 2005

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