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Matematicheskie Zametki, 2024, Volume 116, Issue 3, paper published in the English version journal (Mi mzm14029)  

Papers published in the English version of the journal

On the Gauss maps of minimal surfaces sharing hyperplanes in subgeneral position

S. D. Quang

Department of Mathematics, Hanoi National University of Education, Vietnam
Abstract: This paper has twofold. The first is to establish a uniqueness theorem for the Gauss maps of complete minimal surfaces which share a family of hyperplanes in subgeneral position, where all intersection points with multiplicities exceeding a certain number of the Gauss maps with hyperplanes do not need to be counted. The second is to give an algebraic dependence theorem for such three Gauss maps of complete minimal surfaces.
Keywords: Gauss map, value distribution, algebraic dependence, uniqueness, hyperplane.
Received: 05.12.2023
Revised: 14.06.2024
English version:
Mathematical Notes, 2024, Volume 116, Issue 3, Pages 465–484
DOI: https://doi.org/10.1134/S0001434624090074
Document Type: Article
MSC: 53A10;53C42
Language: English
Citation: S. D. Quang, “On the Gauss maps of minimal surfaces sharing hyperplanes in subgeneral position”, Math. Notes, 116:3 (2024), 465–484
Citation in format AMSBIB
\Bibitem{Qua24}
\by S.~D.~Quang
\paper On the Gauss maps of minimal surfaces sharing hyperplanes in subgeneral position
\jour Math. Notes
\yr 2024
\vol 116
\issue 3
\pages 465--484
\mathnet{http://mi.mathnet.ru/mzm14029}
\crossref{https://doi.org/10.1134/S0001434624090074}
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