On Algebraic-Geometry Approach to Ribaucour Transformations
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2019
- DOI:
- 10.48550/arXiv.1912.12722
- arXiv:
- arXiv:1912.12722
- Bibcode:
- 2019arXiv191212722G
- Keywords:
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- Mathematics - Differential Geometry;
- Mathematics - Algebraic Geometry
- E-Print:
- Revised paper after referees' reports