Archivio Istituzionale della RicercaWe discuss channel surfaces in the context of Lie sphere geometry and characterise them as certain Ω 0-surfaces. Since Ω 0-surfaces possess a rich transformation theory, we study the behaviour of channel surfaces under these transformations. Furthermore, by using certain Dupin cyclide congruences, we characterise Ribaucour pairs of channel surfaces.
Channel surfaces in Lie sphere geometry / Pember, M.; Szewieczek, G.. - In: BEITRAGE ZUR ALGEBRA UND GEOMETRIE. - ISSN 0138-4821. - 59:4(2018), pp. 779-796. [10.1007/s13366-018-0394-6]
Channel surfaces in Lie sphere geometry
Pember M.;Szewieczek G.
2018
Abstract
We discuss channel surfaces in the context of Lie sphere geometry and characterise them as certain Ω 0-surfaces. Since Ω 0-surfaces possess a rich transformation theory, we study the behaviour of channel surfaces under these transformations. Furthermore, by using certain Dupin cyclide congruences, we characterise Ribaucour pairs of channel surfaces.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2789046