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The Injectivity Radius and Shortest Arcs of the Oblate Ellipsoid of Revolution

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Abstract

We found the geodesics, shortest arcs, cut loci, and injectivity radius of any oblate ellipsoid of revolution in three-dimensional Euclidean space.

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Funding

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.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    V. N. Berestovskii

  2. Department of Mathematics and Mechanics, Novosibirsk State University, Novosibirsk, Russia

    V. N. Berestovskii & A. Mustafa

Authors
  1. V. N. Berestovskii
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  2. A. Mustafa
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Corresponding author

Correspondence to V. N. Berestovskii.

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The authors of this work declare that they have no conflicts of interest.

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, 2024, Vol. 65, No. 1, pp. 15–26. https://doi.org/10.33048/smzh.2024.65.102

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Berestovskii, V.N., Mustafa, A. The Injectivity Radius and Shortest Arcs of the Oblate Ellipsoid of Revolution. Sib Math J 65, 11–20 (2024). https://doi.org/10.1134/S0037446624010026

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  • DOI: https://doi.org/10.1134/S0037446624010026

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