The Bianchi-Darboux transform of L-isothermic surfaces
Differential Geometry
2007-05-23 v1
Abstract
We study an analogue of the classical Bianchi-Darboux transformation for L-isothermic surfaces in Laguerre geometry, the Bianchi-Darboux transformation. We show how to construct the Bianchi-Darboux transforms of an L-isothermic surface by solving an integrable linear differential system. We then establish a permutability theorem for iterated Bianchi-Darboux transforms.
Keywords
Cite
@article{arxiv.math/0001062,
title = {The Bianchi-Darboux transform of L-isothermic surfaces},
author = {E. Musso and L. Nicolodi},
journal= {arXiv preprint arXiv:math/0001062},
year = {2007}
}
Comments
13 pages, amstex, to be published in IJM