Projective-group properties of H-spaces H5 of type {5}
Автор: Aminova A.V., Khakimov D.R.
Журнал: Пространство, время и фундаментальные взаимодействия @stfi
Рубрика: Гравитация, космология и фундаментальные поля
Статья в выпуске: 1 (30), 2020 года.
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The five-dimensional ℎ-spaces 𝐻5 of type {5} [3] are studied. Necessary and sufficient conditions for 𝐻5 to be a space of constant curvature are found. The general solution of the Eisenhart equation in ℎ-space 𝐻5 of non-constant curvature is determined. The conditions for the existence of a non-homothetic projective motion in 𝐻5 are established, and the structure of a non-homothetic projective Lie algebra in ℎ-space 𝐻5 of type {5} is described.
Five-dimensional pseudo-riemannian manifold, rigid h-space h5 of type {5}, eisenhart equation, projective motion
Короткий адрес: https://sciup.org/142225902
IDR: 142225902 | DOI: 10.17238/issn2226-8812.2020.1.4-11
