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The General Solution of the Eisenhart Equation and Projective Motions of Pseudo-Riemannian Manifolds

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dc.contributor.author Aminova A.V.
dc.contributor.author Sabitova M.N.
dc.date.accessioned 2021-02-24T20:31:27Z
dc.date.available 2021-02-24T20:31:27Z
dc.date.issued 2020
dc.identifier.issn 0001-4346
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/160692
dc.description.abstract © 2020, Pleiades Publishing, Ltd. The solution of the Eisenhart equation for pseudo-Riemannian manifolds (Mn,g) of arbitrary signature and any dimension is obtained. Thereby, pseudo-Riemannian h-spaces (i.e., spaces admitting nontrivial solutions h ≠ cg of the Eisenhart equation) of all possible types determined by the Segrè characteristic χ of the bilinear form h are found. Necessary and sufficient conditions for the existence of an infinitesimal projective transformation in (Mn,g) are given. The curvature 2-form of a (rigid) h-space of type χ = {r1, …, rk} is calculated and necessary and sufficient conditions for this space to have constant curvature are obtained.
dc.relation.ispartofseries Mathematical Notes
dc.subject curvature
dc.subject Eisenhart equation
dc.subject h-space
dc.subject projective motion
dc.title The General Solution of the Eisenhart Equation and Projective Motions of Pseudo-Riemannian Manifolds
dc.type Article
dc.relation.ispartofseries-issue 5-6
dc.relation.ispartofseries-volume 107
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 875
dc.source.id SCOPUS00014346-2020-107-56-SID85086785880


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  • Публикации сотрудников КФУ Scopus [22633]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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