On AlgebraicGeometry Approach to Ribaucour Transformations
Abstract
We develop the idea of using an algebraicgeometry approach to classical differential geometry problems. Consider an orthogonal net constructed according to algebraicgeometric data we obtain a set of smooth orthogonal nets that are Ribaucour transformations of the initial orthogonal net.
 Publication:

arXiv eprints
 Pub Date:
 December 2019
 DOI:
 10.48550/arXiv.1912.12722
 arXiv:
 arXiv:1912.12722
 Bibcode:
 2019arXiv191212722G
 Keywords:

 Mathematics  Differential Geometry;
 Mathematics  Algebraic Geometry
 EPrint:
 Revised paper after referees' reports