KFU. Card publication. Projective Group Properties of h-Spaces of Type {221}

PROJECTIVE GROUP PROPERTIES OF H-SPACES OF TYPE {221}

Form of presentation

Articles in international journals and collections

Year of publication

2019

Язык

английский

Authors, employees of KFU

Aminova Asya Vasilevna, author

Bibliographic description in the original language

Aminova, A.V., Khakimov, D.R. Projective Group Properties of h-Spaces of Type {221}. Russ Math. 63, 77–83 (2019).

Annotation

Russian Mathematics volume 63, pages77–83(2019)

Keywords

five-dimensional pseudo-Riemannian manifold, the Eisenhart equation, projective Lie algebra, h-space of the type {221}

The name of the journal

Russian Mathematics volume 63, pages77–83(2019)

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

Field DC	Value	Language
dc.contributor.author	Aminova Asya Vasilevna	ru_RU
dc.contributor.author	Khakimov Dzhamoliddin Rakhmonovich	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	Aminova, A.V., Khakimov, D.R. Projective Group Properties of h-Spaces of Type {221}. Russ Math. 63, 77–83 (2019).	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=233558&p_lang=2	ru_RU
dc.description.abstract	Russian Mathematics volume 63, pages77–83(2019)	ru_RU
dc.description.abstract	The curvature of a 5-dimensional h-space H221 of the type {221} [3] is investigated, necessary and sufficient conditions are obtained for H221 to be a space of constant curvature K (Theorem 1). A general solution of the Eisenhart equation is found in an h-space H221 of non-constant curvature. The necessary and sufficient conditions for the existence of non-homothetical projective motion in an h-space H221 of non-constant curvature are established (Theorem 5) and, as a consequence, the structure of the non-homothetical projective Lie algebra in such a space is determined (Theorem 6).	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	five-dimensional pseudo-Riemannian manifold	ru_RU
dc.subject	the Eisenhart equation	ru_RU
dc.subject	projective Lie algebra	ru_RU
dc.subject	h-space of the type {221}	ru_RU
dc.title	Projective Group Properties of h-Spaces of Type {221}	ru_RU
dc.type	Articles in international journals and collections	ru_RU