Discrete $\hat{I}\text{c◯}$-nets and Guichard nets via discrete Koenigs nets

Abstract

We provide a convincing discretisation of Demoulin's $\hat{I}\text{c◯}$-surfaces along with their specialisations to Guichard and isothermic surfaces with no loss of integrable structure.

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