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dc.contributor.author | Aminova A. | |
dc.contributor.author | Khakimov D. | |
dc.date.accessioned | 2018-09-19T20:55:56Z | |
dc.date.available | 2018-09-19T20:55:56Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 1066-369X | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/143436 | |
dc.description.abstract | © 2017, Allerton Press, Inc.The paper is devoted to the problem of determining of 5-dimensional pseudo-Riemannian manifolds (M, g) admitting projective motions (h-spaces). A similar problem for n-dimensional proper Riemannian and Lorentz spaces was solved by Levi-Civita, Solodovnikov, Petrov and Aminova. For pseudo-Riemannian manifolds of arbitrary signature and dimension the problem of their classification in Lie algebras and Lie groups of projective transformations, set more than a hundred years ago, is still open. In this paper five-dimensional h-spaces of the type {221} are determined using the method of skew-normal frame (Aminova) and necessary and sufficient conditions for the existence of projective motions of the same type are established. | |
dc.relation.ispartofseries | Russian Mathematics | |
dc.subject | five-dimensional pseudo-Riemannian manifold | |
dc.subject | h-space of the type {221} | |
dc.subject | projective motion | |
dc.title | On projective motions of five-dimensional spaces of special form | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 5 | |
dc.relation.ispartofseries-volume | 61 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 83 | |
dc.source.id | SCOPUS1066369X-2017-61-5-SID85018437866 |