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arXiv · 1912.12722

On Algebraic-Geometry Approach to Ribaucour Transformations

Evgeniy Glukhov
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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.

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Evgeniy Glukhov. 2019-12-29. On Algebraic-Geometry Approach to Ribaucour Transformations. https://arxiv.org/abs/1912.12722

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