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arXiv · 1711.04605

Ribaucour coordinates

F. Burstall·U. Hertrich-Jeromin·M. Lara Miro
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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 result. Further, we discuss smoothing of semi-discrete curvature line nets and an interpolation by Ribaucour transformations.

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F. Burstall, U. Hertrich-Jeromin, M. Lara Miro. 2017-11-13. Ribaucour coordinates. https://doi.org/10.1007/s13366-018-0391-9

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