Abstract
We prove that every standard path with constant inner curvatures on a sphere in a pseudo-Euclidean space \({\mathbb {E}}^n_l\), \(n\ge 3 \), of an arbitrary index \(l \) is an orbit of a one-parameter subgroup of the group of motions of the sphere.
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Funding
The work was supported by the Program of Fundamental Scientific Research of the SB RAS No. I.1.1., project No. 0314-2019-0004.
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Zubareva, I.A. On Standard Paths with Constant Inner Curvatures on a Sphere in a Pseudo-Euclidean Space. Sib. Adv. Math. 31, 69–77 (2021). https://doi.org/10.1134/S1055134421010077
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DOI: https://doi.org/10.1134/S1055134421010077