English

Discrete $\Omega$-nets and Guichard nets via discrete Koenigs nets

Differential Geometry 2023-02-07 v3

Abstract

We provide a convincing discretisation of Demoulin's Ω\Omega-surfaces along with their specialisations to Guichard and isothermic surfaces with no loss of integrable structure.

Keywords

Cite

@article{arxiv.2008.01447,
  title  = {Discrete $\Omega$-nets and Guichard nets via discrete Koenigs nets},
  author = {F. E. Burstall and J. Cho and U. Hertrich-Jeromin and M. Pember and W. Rossman},
  journal= {arXiv preprint arXiv:2008.01447},
  year   = {2023}
}

Comments

40 A4 pages. v2: small changes in response to referee, including change of title. v3: typos fixed; author coordinates updated