H-spaces (H41,G) of type {41}: projective-group properties
Автор: Aminova A. V., Khakimov D. R.
Журнал: Пространство, время и фундаментальные взаимодействия @stfi
Рубрика: Гравитация, космология и фундаментальные поля
Статья в выпуске: 4 (29), 2019 года.
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In this paper we study five-dimensional ℎ-spaces (𝐻41, 𝑔) of type {41} [4]. Necessary and sufficient conditions for (𝐻41, 𝑔) to be a space of constant curvature are found. The general solution of the Eisnhart equation in ℎ-space (𝐻41, 𝑔) of non-constant curvature is determined. We establish conditions for the existence of a non-homothetic projective motion in (𝐻41, 𝑔) and describe the structure of a non-homothetic projective Lie algebra in ℎ-space (𝐻41, 𝑔) of type {41}.
Five-dimensional pseudo-riemannian manifold, ℎ-space of type {41}, eisenhart equation, projective lie algebra
Короткий адрес: https://sciup.org/142224157
IDR: 142224157 | DOI: 10.17238/issn2226-8812.2019.4.4-12
Список литературы H-spaces (H41,G) of type {41}: projective-group properties
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- Aminova A.V. Projective transformations of pseudo-Riemannian manifolds. Moskow: Yanus-K Publ., 2003
- Aminova A.V., Khakimov D.R. On projective motions of 5-dimensional spaces II. �-spaces of the type {41}. Space, Time and Fundamental Interactions, 2019, no. 1, pp. 45-55
