Discrete Ω$\Omega$‐nets and Guichard nets via discrete Koenigs nets
Copyright policy )Discrete Ω$\Omega$‐nets and Guichard nets via discrete Koenigs nets
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.
Comment: 40 A4 pages. v2: small changes in response to referee, including change of title. v3: typos fixed; author coordinates updated
- University of Bath United Kingdom
- Kobe University Japan
Guichard nets, Mathematics - Differential Geometry, Surfaces in Euclidean and related spaces, isothermic nets, line congruences, quadrics, \(\Omega\)-nets, Discrete differential geometry, (2020): Primary: 53A70, Secondary: 53A10, 53A31, Differential geometry of submanifolds of Möbius space
Guichard nets, Mathematics - Differential Geometry, Surfaces in Euclidean and related spaces, isothermic nets, line congruences, quadrics, \(\Omega\)-nets, Discrete differential geometry, (2020): Primary: 53A70, Secondary: 53A10, 53A31, Differential geometry of submanifolds of Möbius space
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