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Injectivity Radius of the Prolate Ellipsoid of Revolution. / Берестовский, Валерий Николаевич; Мустафа, Али .

In: Siberian Mathematical Journal, Vol. 66, No. 6, 2, 11.2025, p. 1355-1367.

Research output: Contribution to journal › Article › peer-review

Harvard

Берестовский, ВН & Мустафа, А 2025, 'Injectivity Radius of the Prolate Ellipsoid of Revolution', Siberian Mathematical Journal, vol. 66, no. 6, 2, pp. 1355-1367. https://doi.org/10.1134/S0037446625060023

APA

Берестовский, В. Н., & Мустафа, А. (2025). Injectivity Radius of the Prolate Ellipsoid of Revolution. Siberian Mathematical Journal, 66(6), 1355-1367. [2]. https://doi.org/10.1134/S0037446625060023

Vancouver

Берестовский ВН, Мустафа А. Injectivity Radius of the Prolate Ellipsoid of Revolution. Siberian Mathematical Journal. 2025 Nov;66(6):1355-1367. 2. doi: 10.1134/S0037446625060023

Author

Берестовский, Валерий Николаевич ; Мустафа, Али . / Injectivity Radius of the Prolate Ellipsoid of Revolution. In: Siberian Mathematical Journal. 2025 ; Vol. 66, No. 6. pp. 1355-1367.

BibTeX

@article{a9eaac8dab654ffe8aceb1c2f0a73ca6,
title = "Injectivity Radius of the Prolate Ellipsoid of Revolution",
abstract = "The injectivity radius of an arbitrary prolate ellipsoid of revolution in three-dimensional Euclidean space is found. It is exactly equal to the distance along the double meridian between its conjugate points symmetric with respect to the pole and is smaller than one half of the length of the equator. A method for arbitrarily accurate computer calculations of the injectivity radius of an arbitrary prolate ellipsoid of revolution is developed and applied.",
keywords = "GEODESIC, JACOBI FIELD, INJECTIVITY RADIUS, CONJUGATE POINTS, EXPONENTIAL MAPPING, ELLIPSOID OF REVOLUTION, ELLIPTIC INTEGRALS",
author = "Берестовский, {Валерий Николаевич} and Али Мустафа",
note = "Berestovskii, V. N. Injectivity Radius of the Prolate Ellipsoid of Revolution / V. N. Berestovskii, A. Mustafa // Siberian Mathematical Journal. – 2025. – Vol. 66, No. 6. – P. 1355-1367. – DOI 10.1134/S0037446625060023. – EDN TCSVKU. The research of Berestovskii was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0006). The research of Mustafa was supported by the Mathematical Center in Akademgorodok under agreement 075–15–2025–349 dated April 29, 2025, with the Ministry of Science and Higher Education of the Russian Federation.",
year = "2025",
month = nov,
doi = "10.1134/S0037446625060023",
language = "English",
volume = "66",
pages = "1355--1367",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "Pleiades Publishing",
number = "6",

}

RIS

TY - JOUR

T1 - Injectivity Radius of the Prolate Ellipsoid of Revolution

AU - Берестовский, Валерий Николаевич

AU - Мустафа, Али

N1 - Berestovskii, V. N. Injectivity Radius of the Prolate Ellipsoid of Revolution / V. N. Berestovskii, A. Mustafa // Siberian Mathematical Journal. – 2025. – Vol. 66, No. 6. – P. 1355-1367. – DOI 10.1134/S0037446625060023. – EDN TCSVKU. The research of Berestovskii was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0006). The research of Mustafa was supported by the Mathematical Center in Akademgorodok under agreement 075–15–2025–349 dated April 29, 2025, with the Ministry of Science and Higher Education of the Russian Federation.

PY - 2025/11

Y1 - 2025/11

N2 - The injectivity radius of an arbitrary prolate ellipsoid of revolution in three-dimensional Euclidean space is found. It is exactly equal to the distance along the double meridian between its conjugate points symmetric with respect to the pole and is smaller than one half of the length of the equator. A method for arbitrarily accurate computer calculations of the injectivity radius of an arbitrary prolate ellipsoid of revolution is developed and applied.

AB - The injectivity radius of an arbitrary prolate ellipsoid of revolution in three-dimensional Euclidean space is found. It is exactly equal to the distance along the double meridian between its conjugate points symmetric with respect to the pole and is smaller than one half of the length of the equator. A method for arbitrarily accurate computer calculations of the injectivity radius of an arbitrary prolate ellipsoid of revolution is developed and applied.

KW - GEODESIC

KW - JACOBI FIELD

KW - INJECTIVITY RADIUS

KW - CONJUGATE POINTS

KW - EXPONENTIAL MAPPING

KW - ELLIPSOID OF REVOLUTION

KW - ELLIPTIC INTEGRALS

UR - https://www.scopus.com/pages/publications/105022644320

UR - https://elibrary.ru/item.asp?id=84013564

U2 - 10.1134/S0037446625060023

DO - 10.1134/S0037446625060023

M3 - Article

VL - 66

SP - 1355

EP - 1367

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 6

M1 - 2

ER -

ID: 72346073