Sibirsk. Mat. Zh., 2024 Volume 65, Number 1, Pages 15–26
(Mi smj7836)
The injectivity radius and shortest arcs of the oblate ellipsoid of revolution V. N. Berestovskii ab ,
A. Mustafa b a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk b Novosibirsk State University 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.
UDC:
513.81
MSC: 35R30 Received: 29.06.2023
Revised: 29.06.2023
Accepted: 25.09.2023
DOI:
10.33048/smzh.2024.65.102
© , 2024
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