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On Standard Paths with Constant Inner Curvatures on a Sphere in a Pseudo-Euclidean Space Full article

Journal Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126
Output data Year: 2021, Volume: 31, Number: 1, Pages: 69-77 Pages count : 9 DOI: 10.1134/S1055134421010077
Tags Frenet frame; inner curvature; orbit of a one-parameter group of isometries; pseudo-Euclidean space; standard path
Authors Zubareva I.A. 1
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation

Abstract: Abstract: We prove that every standard path with constant inner curvatures on a sphere ina pseudo-Euclidean space Enl, n ≥ 3, of an arbitrary index l is an orbit of a one-parameter subgroup ofthe group of motions of the sphere.
Cite: Zubareva I.A.
On Standard Paths with Constant Inner Curvatures on a Sphere in a Pseudo-Euclidean Space
Siberian Advances in Mathematics. 2021. V.31. N1. P.69-77. DOI: 10.1134/S1055134421010077 Scopus OpenAlex
Identifiers:
Scopus: 2-s2.0-85103860366
OpenAlex: W3153169088
Citing: Пока нет цитирований
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