On symmetries of constant mean curvature surfaces

@inproceedings{Dorfmeister1996OnSO,
  title={On symmetries of constant mean curvature surfaces},
  author={Josef Dorfmeister},
  year={1996}
}
There are many well known examples of CMC-surfaces with large spatial symmetry groups. The classic Delaunay surfaces (see [8]) have a nondiscrete group AutΨ(D) containing the group of all rotations around their generating axis. Other examples are the Smyth surfaces [19], which were visualized by D. Lerner, I. Sterling, C. Gunn and U. Pinkall. These surfaces have an m + 2-fold rotational symmetry in R 3 , where the axis of rotation passes through the single umbilic of order m. More recent is the… CONTINUE READING

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Showing 1-10 of 19 references

A generalization of a theorem of delaunay on constant mean curvature surfaces

  • B. Smyth
  • Statistical thermodynamics and differential…
  • 1993
Highly Influential
6 Excerpts

A Simple Way for Determining the Normalized Potentials for Harmonic Maps

  • H. Wu
  • PREPRINT
  • 1995
1 Excerpt

All constant mean curvature tori in R3

  • A. Bobenko
  • S3, H3 in terms of theta-functions, Math. Ann…
  • 1995
3 Excerpts

On the classification of constant mean curvature tori in R3

  • C. Jaggy
  • Comment. Math. Helv., 69
  • 1994
1 Excerpt

Weierstraß Type Representations of Harmonic Maps into Symmetric spaces

  • J. Dorfmeister, F. Pedit, H. Wu
  • preprint KITCS94-4-1, GANG and KITCS
  • 1994
7 Excerpts

Constant mean curvature surfaces and loop groups

  • J. Dorfmeister, H. Wu
  • J. reine angew. Math., 440
  • 1993
1 Excerpt

New surfaces of constant mean curvature

  • K. Große-Brauckmann
  • Math. Z., 214
  • 1993
1 Excerpt

The Surfaces of Delaunay

  • J. Eells
  • Math. Intelligencer, 214
  • 1993
2 Excerpts

Hyperelliptic Curves that Generate Constant Mean Curvature Tori in R3

  • N. M. Ercolani, H. Knörrer, E. Trubowitz
  • Integrable systems
  • 1991
1 Excerpt

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