KFU. Card publication. On projective motions of five-dimensional spaces of special form

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ON PROJECTIVE MOTIONS OF FIVE-DIMENSIONAL SPACES OF SPECIAL FORM

Form of presentation

Articles in international journals and collections

Year of publication

2017

Язык

английский

Authors, employees of KFU

Aminova Asya Vasilevna, author

Bibliographic description in the original language

Aminova, A.V., Khakimov, D.R. On projective motions of five-dimensional spaces of special form. Russ Math. 61, 83–87 (2017).

Annotation

Russ Math. 61, 83–87 (2017).

Keywords

five-dimensional pseudo-Riemannian manifold, projective motion, h-space of the type {221}

The name of the journal

Russ Math. 61, 83–87 (2017).

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=233555&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Aminova Asya Vasilevna	ru_RU
dc.date.accessioned	2017-01-01T00:00:00Z	ru_RU
dc.date.available	2017-01-01T00:00:00Z	ru_RU
dc.date.issued	2017	ru_RU
dc.identifier.citation	Aminova, A.V., Khakimov, D.R. On projective motions of five-dimensional spaces of special form. Russ Math. 61, 83–87 (2017).	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=233555&p_lang=2	ru_RU
dc.description.abstract	Russ Math. 61, 83–87 (2017).	ru_RU
dc.description.abstract	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.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	five-dimensional pseudo-Riemannian manifold	ru_RU
dc.subject	projective motion	ru_RU
dc.subject	h-space of the type {221}	ru_RU
dc.title	On projective motions of five-dimensional spaces of special form	ru_RU
dc.type	Articles in international journals and collections	ru_RU