On the properties of the projective Lie algebras of rigid h-spaces H32 of the type {32}
The five-dimensional pseudo-Riemannian spaces that admit infinitesimal projective transformations were studied. A general solution of the Eisenhart equation in the h-space H32 of non-constant curvature was found. Necessary and sufficient conditions were established for the existence of a non-homothe...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Kazan Federal University
2020-06-01
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| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
| Subjects: | |
| Online Access: | https://kpfu.ru/uz-eng-phm-2020-2-1.html |
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| Summary: | The five-dimensional pseudo-Riemannian spaces that admit infinitesimal projective transformations were studied. A general solution of the Eisenhart equation in the h-space H32 of non-constant curvature was found. Necessary and sufficient conditions were established for the existence of a non-homothetic projective motion in the h-space H32 of non-constant curvature, and, as a consequence, the structure of the non-homothetic projective Lie algebra in this space was determined. |
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| ISSN: | 2541-7746 2500-2198 |