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

Abstract

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

arXiv comment40 A4 pages. v2: small changes in response to referee, including change of title. v3: typos fixed; author coordinates updated

References in corpus (7)

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• The submanifold geometries associated to Grassmannian systems
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Cited by in corpus (2)

• Periodic discrete Darboux transforms
• Bäcklund transformations as integrable discretization. The geometric approach