Ribaucour coordinates
Differential Geometry
2019-03-11 v1
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.
Cite
@article{arxiv.1711.04605,
title = {Ribaucour coordinates},
author = {F. Burstall and U. Hertrich-Jeromin and M. Lara Miro},
journal= {arXiv preprint arXiv:1711.04605},
year = {2019}
}
Comments
11 pages, 5 figures