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Sibirskii Matematicheskii Zhurnal, 2024, Volume 65, Number 1, Pages 15–26
DOI: https://doi.org/10.33048/smzh.2024.65.102 (Mi smj7836) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The injectivity radius and shortest arcs of the oblate ellipsoid of revolution

V. N. Berestovskiiab, A. Mustafab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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DOI: https://doi.org/10.33048/smzh.2024.65.102
Abstract: We found the geodesics, shortest arcs, cut loci, and injectivity radius of any oblate ellipsoid of revolution in three-dimensional Euclidean space.
Keywords: Clairaut rule, cut locus, ellipsoid of revolution, geodesic, injectivity radius, shortest arc.
Funding agency
The work is supported by the Mathematical Center in Akademgorodok under Agreement 075–15–2022–282 on April 5, 2022 with the Ministry of Science and Higher Education of the Russian Federation.
Received: 29.06.2023
Revised: 29.06.2023
Accepted: 25.09.2023
English version:
Siberian Mathematical Journal, 2024, Volume 65, Issue 1, Pages 11–20
DOI: https://doi.org/10.1134/S0037446624010026
Document Type: Article
UDC: 513.81
MSC: 35R30
Language: Russian
Citation: V. N. Berestovskii, A. Mustafa, “The injectivity radius and shortest arcs of the oblate ellipsoid of revolution”, Sibirsk. Mat. Zh., 65:1 (2024), 15–26; Siberian Math. J., 65:1 (2024), 11–20
Citation in format AMSBIB
\Bibitem{BerMus24}
\by V.~N.~Berestovskii, A.~Mustafa
\paper The injectivity radius and shortest arcs of the oblate ellipsoid of revolution
\jour Sibirsk. Mat. Zh.
\yr 2024
\vol 65
\issue 1
\pages 15--26
\mathnet{http://mi.mathnet.ru/smj7836}
\transl
\jour Siberian Math. J.
\yr 2024
\vol 65
\issue 1
\pages 11--20
\crossref{https://doi.org/10.1134/S0037446624010026}
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