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Matematicheskie Zametki, 2024, Volume 115, Issue 3, Pages 450–457
DOI: https://doi.org/10.4213/mzm13997 (Mi mzm13997) 		 
On Angles between Linear Subspaces in $\mathbb R^4$ and the Singularity

A. O. Chebotarenko

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm13997
Abstract: We generalize the Khinchin singularity phenomenon for the problem in which, for a given irrational linear subspace, rational subspaces forming the least angle with the given subspace are sought.
Keywords: function of the measure of irrationality, singularity, angle between subspaces.
Funding agency Grant number
Foundation for the Development of Theoretical Physics and Mathematics BASIS 21-7-1-33-1
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-284
The work was financially supported by the Basis Foundation, grant no. 21-7-1-33-1, and also financially supported by the Ministry of Education and Science of Russia as a part of the implementation of the Program of the Moscow Center for Fundamental and Applied Mathematics under the agreement no. 075-15-2022-284.
Received: 19.04.2023
Revised: 24.08.2023
English version:
Mathematical Notes, 2024, Volume 115, Issue 3, Pages 414–419
DOI: https://doi.org/10.1134/S0001434624030131
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: A. O. Chebotarenko, “On Angles between Linear Subspaces in $\mathbb R^4$ and the Singularity”, Mat. Zametki, 115:3 (2024), 450–457; Math. Notes, 115:3 (2024), 414–419
Citation in format AMSBIB
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\by A.~O.~Chebotarenko
\paper On Angles between Linear Subspaces in $\mathbb R^4$ and the Singularity
\jour Mat. Zametki
\yr 2024
\vol 115
\issue 3
\pages 450--457
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\crossref{https://doi.org/10.4213/mzm13997}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4767915}
\transl
\jour Math. Notes
\yr 2024
\vol 115
\issue 3
\pages 414--419
\crossref{https://doi.org/10.1134/S0001434624030131}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85197702704}
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