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Matematicheskie Zametki, 2022, Volume 111, Issue 5, Pages 717–725
DOI: https://doi.org/10.4213/mzm13248 (Mi mzm13248) 		 
On an Algebro-Geometric Approach to Ribaucour Transformations and Bianchi Cubes

E. V. Glukhov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.4213/mzm13248
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.
Keywords: orthogonal nets, Bianchi cube, Ribaucour transformations.
Funding agency Grant number
Russian Science Foundation 20-11-20214
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.
Received: 03.08.2021
English version:
Mathematical Notes, 2022, Volume 111, Issue 5, Pages 722–728
DOI: https://doi.org/10.1134/S0001434622050054
Bibliographic databases:
Document Type: Article
UDC: 512.7+514.7+517.957
Language: Russian
Citation: E. V. Glukhov, “On an Algebro-Geometric Approach to Ribaucour Transformations and Bianchi Cubes”, Mat. Zametki, 111:5 (2022), 717–725; Math. Notes, 111:5 (2022), 722–728
Citation in format AMSBIB
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\by E.~V.~Glukhov
\paper On an Algebro-Geometric Approach to Ribaucour Transformations and Bianchi Cubes
\jour Mat. Zametki
\yr 2022
\vol 111
\issue 5
\pages 717--725
\mathnet{http://mi.mathnet.ru/mzm13248}
\crossref{https://doi.org/10.4213/mzm13248}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461300}
\transl
\jour Math. Notes
\yr 2022
\vol 111
\issue 5
\pages 722--728
\crossref{https://doi.org/10.1134/S0001434622050054}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85132943950}
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