Title: Ribaucour coordinates
Language: English
Authors: Burstall, F. 
Hetrich-Jeromin, U. 
Lara Miro, M. 
Category: Research Article
Keywords: Channel surface; Canal surface; Semi-discrete surface; Curvature line net; Discrete principal net; Circular net; Ribaucour transformation; Ribaucour coordinates
Issue Date: 2019
Journal: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
We discuss results for the Ribaucour transformation of curves or of higher dimensional smooth and discrete submanifolds. In particular, a result for the reduction of the ambient dimension of a submanifold is proved and the notion of Ribaucour coordinates is derived using a Bianchi permutability theorem. Further, we discuss smoothing of semi-discrete curvature line nets and an interpolation by Ribaucour transformations.
DOI: 10.1007/s13366-018-0391-9
Library ID: AC15324298
URN: urn:nbn:at:at-ubtuw:3-5206
ISSN: 0138-4821
Organisation: E104 - Institut für Diskrete Mathematik und Geometrie 
Publication Type: Article
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