Sciact
  • EN
  • RU

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

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2024, Volume: 65, Number: 1, Pages: 11–20 Pages count : 10 DOI: 10.1134/S0037446624010026
Tags Clairaut rule, cut locus, ellipsoid of revolution, geodesic, injectivity radius, shortest arc
Authors Berestovskii V.N. 1,2 , Mustafa A. 2
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, Russia
2 Novosibirsk State University, Novosibirsk, Russia

Funding (1)

1 Mathematical Center in Akademgorodok 075-15-2022-282

Abstract: We found the geodesics, shortest arcs, cut loci, and injectivity radius of any oblate ellipsoid of revolution in three-dimensional Euclidean space.
Cite: Berestovskii V.N. , Mustafa A.
The injectivity radius and shortest arcs of the oblate ellipsoid of revolution
Siberian Mathematical Journal. 2024. V.65. N1. P.11–20. DOI: 10.1134/S0037446624010026 WOS Scopus РИНЦ РИНЦ OpenAlex
Original: Берестовский В.Н. , Мустафа А.
Радиус инъективности и кратчайшие сплюснутого эллипсоида вращения
Сибирский математический журнал. 2024. Т.65. №1. С.15-26. DOI: 10.33048/smzh.2024.65.102 РИНЦ
Dates:
Submitted: Jun 29, 2023
Accepted: Sep 25, 2023
Published print: Feb 7, 2024
Published online: Feb 7, 2024
Identifiers:
Web of science: WOS:001158248700001
Scopus: 2-s2.0-85184463165
Elibrary: 65957890 | 67311544
OpenAlex: W4391604032
Citing:
DB Citing
Elibrary 1
Altmetrics: