paper

On Algebraic-Geometry Approach to Ribaucour Transformations

arXiv:1912.12722

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.

Revised paper after referees' reports

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