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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) 		 
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.
Received: 29.06.2023
Revised: 29.06.2023
Accepted: 25.09.2023
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
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}
\crossref{https://doi.org/10.33048/smzh.2024.65.102}
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