Injectivity Radius of the Prolate Ellipsoid of Revolution Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2025, Volume: 66, Number: 6, Pages: 1355-1367 Pages count : 13 DOI: 10.1134/s0037446625060023 | ||||
| Tags | geodesic, Jacobi field, injectivity radius, conjugate points, exponential mapping, ellipsoid of revolution, elliptic integrals | ||||
| Authors |
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| Affiliations |
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Funding (2)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0006 |
| 2 | Министерство науки и высшего образования РФ | 075-15-2025-349 |
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.
Cite:
Berestovskii V.N.
, Mustafa A.
Injectivity Radius of the Prolate Ellipsoid of Revolution
Siberian Mathematical Journal. 2025. V.66. N6. P.1355-1367. DOI: 10.1134/s0037446625060023 WOS Scopus РИНЦ OpenAlex
Injectivity Radius of the Prolate Ellipsoid of Revolution
Siberian Mathematical Journal. 2025. V.66. N6. P.1355-1367. DOI: 10.1134/s0037446625060023 WOS Scopus РИНЦ OpenAlex
Original:
Берестовский В.Н.
, Мустафа А.
Радиус инъективности вытянутого эллипсоида вращения
Сибирский математический журнал. 2025. Т.66. №6. С.1015-1029. DOI: 10.33048/smzh.2025.66.602 РИНЦ
Радиус инъективности вытянутого эллипсоида вращения
Сибирский математический журнал. 2025. Т.66. №6. С.1015-1029. DOI: 10.33048/smzh.2025.66.602 РИНЦ
Dates:
| Submitted: | Jun 10, 2024 |
| Accepted: | Jul 7, 2025 |
| Published print: | Nov 24, 2025 |
| Published online: | Nov 24, 2025 |
Identifiers:
| Web of science: | WOS:001622319900011 |
| Scopus: | 2-s2.0-105022644320 |
| Elibrary: | 84013564 |
| OpenAlex: | W7106510503 |
Citing:
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