English

On the elliptic sinh-Gordon equation with Durham boundary conditions

Differential Geometry 2021-08-11 v1

Abstract

We adapt Sklyanin's KK-matrix formalism to the sinh-Gordon equation, and prove that all free boundary constant mean curvature (CMC) annuli in the unit ball in R3\mathbb{R}^3 are of finite type.

Keywords

Cite

@article{arxiv.2003.11501,
  title  = {On the elliptic sinh-Gordon equation with Durham boundary conditions},
  author = {Martin Kilian and Graham Smith},
  journal= {arXiv preprint arXiv:2003.11501},
  year   = {2021}
}