On an Algebro-Geometric Approach to Ribaucour Transformations and Bianchi Cubes
Matematičeskie zametki, Tome 111 (2022) no. 5, pp. 717-725
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In this paper, we develop an algebro-geometric approach to Ribaucour transformations and Bianchi cubes of orthogonal nets. Explicit transformations of algebro-geometric data are described that lead to the Ribaucour transformations and Bianchi cubes of algebro-geometric orthogonal nets.
Mots-clés :
orthogonal nets, Bianchi cube, Ribaucour transformations.
@article{MZM_2022_111_5_a4,
author = {E. V. Glukhov},
title = {On an {Algebro-Geometric} {Approach} to {Ribaucour} {Transformations} and {Bianchi} {Cubes}},
journal = {Matemati\v{c}eskie zametki},
pages = {717--725},
publisher = {mathdoc},
volume = {111},
number = {5},
year = {2022},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2022_111_5_a4/}
}
E. V. Glukhov. On an Algebro-Geometric Approach to Ribaucour Transformations and Bianchi Cubes. Matematičeskie zametki, Tome 111 (2022) no. 5, pp. 717-725. http://geodesic.mathdoc.fr/item/MZM_2022_111_5_a4/