Abstract
The curvature of a 5-dimensional h-space H221 of the type {221} [3] is investigated, necessary and sufficient conditions are obtained for H221 to be a space of constant curvature K (Theorem 1). A general solution of the Eisenhart equation is found in an h-space H221 of non-constant curvature. The necessary and sufficient conditions for the existence of non-homothetical projective motion in an h-space H221 of non-constant curvature are established (Theorem 5) and, as a consequence, the structure of the non-homothetical projective Lie algebra in such a space is determined (Theorem 6).
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References
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Russian Text © The Author(s), 2019, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, No. 10, pp. 87–93.
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Aminova, A.V., Khakimov, D.R. Projective Group Properties of h-Spaces of Type {221}. Russ Math. 63, 77–83 (2019). https://doi.org/10.3103/S1066369X19100098
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DOI: https://doi.org/10.3103/S1066369X19100098