Work

On Algebraic-Geometry Approach to Ribaucour Transformations

Year: 2019

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1912.12722

Author: Glukhov, Evgeniy

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2996861208

Cites: 19

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Related to: 10