On Algebraic-Geometry Approach to Ribaucour Transformations
Differential Geometry
2020-05-12 v2 Algebraic Geometry
Abstract
We develop the idea of using an algebraic-geometry approach to classical differential geometry problems. Consider an orthogonal net constructed according to algebraic-geometric data we obtain a set of smooth orthogonal nets that are Ribaucour transformations of the initial orthogonal net.
Cite
@article{arxiv.1912.12722,
title = {On Algebraic-Geometry Approach to Ribaucour Transformations},
author = {Evgeniy Glukhov},
journal= {arXiv preprint arXiv:1912.12722},
year = {2020}
}
Comments
Revised paper after referees' reports