E104-03 - Forschungsbereich Differentialgeometrie und geometrische Strukturen
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Zeitschrift:
Beitraege zur Algebra und Geometrie
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ISSN:
0138-4821
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Datum (veröffentlicht):
2019
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Umfang:
17
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Verlag:
Springer
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Peer Reviewed:
Ja
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Keywords:
Channel surface; Canal surface; Semi-discrete surface; Curvature line net; Discrete principal net; Circular net; Ribaucour transformation; Ribaucour coordinates
en
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.
CC BY 4.0
