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On constant mean curvature surfaces satisfying integrable boundary conditions

Differential Geometry 2024-12-09 v1

Abstract

We consider the local theory of constant mean curvature surfaces that satisfy one or two integrable boundary conditions and determine the corresponding potentials for the generalized Weierstrass representation.

Keywords

Cite

@article{arxiv.2412.05068,
  title  = {On constant mean curvature surfaces satisfying integrable boundary conditions},
  author = {Martin Kilian},
  journal= {arXiv preprint arXiv:2412.05068},
  year   = {2024}
}

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19 pages