Hostname: page-component-8448b6f56d-xtgtn Total loading time: 0 Render date: 2024-04-19T15:17:57.068Z Has data issue: false hasContentIssue false
  • English
  • Français

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 Kingdommasmk@maths.bath.ac.uk
S.-P. KOBAYASHI
Affiliation:
Department of Mathematics, Kobe University, Rokko Kobe 657-8501, Japankobayasi@math.kobe-u.ac.jp, wayne@math.kobe-u.ac.jp
W. ROSSMAN
Affiliation:
Department of Mathematics, Kobe University, Rokko Kobe 657-8501, Japankobayasi@math.kobe-u.ac.jp, wayne@math.kobe-u.ac.jp
N. SCHMITT
Affiliation:
Institut für Mathematik, Technische Universität Berlin, Straße des 17 Juni 136, 10623 Berlin, Germanynick@gang.umass.edu
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)