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Projective and affine movements of special five-dimensional spaces \(h_{32,3}\)
Aminova A. V., Khakimov D. R.
We find symmetries of geodesic equations in the form of Lie algebras of infinitesimal projective and affine transformations of special 5-dimensional pseudo-Riemannian spaces, namely \(h\)-spaces \(H_{32,3}\) of type \(\{32\}\).
Keywords: projective motion, affine motion, five-dimensional pseudo-Riemannian manifold, \(h\)-space \(H_{32,3}\) of type \(\{32\}\), Killing equations, projective Lie algebra
UDC: 514.763
PACS: 11.10.Kk, 04.50.+h, 04.50.-h, 02.40-k, 02.20.Sv
DOI: 10.17238/issn2226-8812.2025.1.12-17
Please cite this article in English as:
Aminova A. V., Khakimov D. R. Projective and affine movements of special five-dimensional spaces \(h_{32,3}\). Space, Time and Fundamental Interactions, 2025, no. 1, pp. 12–17.