A note on Ribaucour transformations in Lie sphere geometry
Differential Geometry
2013-03-11 v1
Abstract
Following Burstall and Hertrich-Jeromin we study the Ribaucour transformation of Legendre submanifolds in Lie sphere geometry. We give an explicit parametrization of the resulted Legendre submanifold of a Ribaucour transformation, via a single real function which represents the regular Ribaucour sphere congruence enveloped by the original Legendre submanifold .
Cite
@article{arxiv.1303.1862,
title = {A note on Ribaucour transformations in Lie sphere geometry},
author = {Jianquan Ge},
journal= {arXiv preprint arXiv:1303.1862},
year = {2013}
}
Comments
8 pages