On the properties of the projective lie algebras of rigid h-spaces h<inf>32</inf> of the type {32}

dc.contributor.author	Aminova A.V.
dc.contributor.author	Khakimov D.R.
dc.date.accessioned	2021-02-25T21:03:11Z
dc.date.available	2021-02-25T21:03:11Z
dc.date.issued	2020
dc.identifier.issn	2541-7746
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/162988
dc.description.abstract	© 2020, Kazan Federal University. All rights reserved. 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.
dc.relation.ispartofseries	Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
dc.subject	Eisenhart equation
dc.subject	Five-dimensional pseudo-Riemannian manifold
dc.subject	Projective Lie algebra
dc.subject	Rigid h-space of type {32}
dc.title	On the properties of the projective lie algebras of rigid h-spaces h<inf>32</inf> of the type {32}
dc.type	Article
dc.relation.ispartofseries-issue	2
dc.relation.ispartofseries-volume	162
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	111
dc.source.id	SCOPUS25417746-2020-162-2-SID85096712522

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