Abstract
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.
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Acknowledgments
The author wishes to express gratitude to his research supervisor Professor O. I. Mokhov for the problem statement, important comments, and interest in the research.
Funding
This work was completed on the Faculty of Mechanics and Mathematics at the Moscow State University and supported by the Russian Science Foundation under grant 20-11-20214.
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Translated from Matematicheskie Zametki, 2022, Vol. 111, pp. 717–725 https://doi.org/10.4213/mzm13248.
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Glukhov, E.V. On an Algebro-Geometric Approach to Ribaucour Transformations and Bianchi Cubes. Math Notes 111, 722–728 (2022). https://doi.org/10.1134/S0001434622050054
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DOI: https://doi.org/10.1134/S0001434622050054