| Title: | Ribaucour coordinates | Language: | English | Authors: | Burstall, F. Hetrich-Jeromin, U. Lara Miro, M. |
Category: | Research Article Forschungsartikel |
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 | Abstract: | 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 Artikel |
| Appears in Collections: | Article |
Files in this item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Burstall F - 2019 - Ribaucour coordinates.pdf | 1.03 MB | Adobe PDF |  View/Open |
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