KFU. Card publication. SYMMETRIES OF FIVE-DIMENSIONAL RIGID H-SPACES H

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SYMMETRIES OF FIVE-DIMENSIONAL RIGID H-SPACES H_32,3

Form of presentation

Conference proceedings in Russian journals and collections

Year of publication

2024

Язык

русский

Authors, employees of KFU

Aminova Asya Vasilevna, author

Khakimov Dzhamoliddin Rakhmonovich, author

Bibliographic description in the original language

SYMMETRIES OF FIVE-DIMENSIONAL RIGID H-SPACES H_32,3 // 18-ya Rossiyskaya gravitacionnaya konferenciya – Mezhdunarodnaya konferenciya po gravitacii, kosmologii i astrofizike «RusGrav-18». Tezisy dokladov. — Kazan: Izd-vo KFU, 2024. – 122 c.«

Annotation

Международная конференция по гравитации, астрофизике и космологии Посвящается памяти Алексея Старобинского Тезисы докладов

Keywords

systems of partial differential equations, differential geometry, five-dimensional pseudo-Riemannian manifold, h-space H_ 32 of type {32}, non-homothetical projective motion, equations projective Lie algebra, projective-geometric theory of ODE.

The name of the journal

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

https://repository.kpfu.ru/eng/?p_id=308238&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Aminova Asya Vasilevna	ru_RU
dc.contributor.author	Khakimov Dzhamoliddin Rakhmonovich	ru_RU
dc.date.accessioned	2024-01-01T00:00:00Z	ru_RU
dc.date.available	2024-01-01T00:00:00Z	ru_RU
dc.date.issued	2024	ru_RU
dc.identifier.citation	SYMMETRIES OF FIVE-DIMENSIONAL RIGID H-SPACES H_32,3 // 18-я Российская гравитационная конференция – Международная конференция по гравитации, космологии и астрофизике «RusGrav-18». Тезисы докладов. — Казань: Изд-во КФУ, 2024. – 122 c.«	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=308238&p_lang=2	ru_RU
dc.description.abstract	Международная конференция по гравитации, астрофизике и космологии Посвящается памяти Алексея Старобинского Тезисы докладов	ru_RU
dc.description.abstract	Symmetries of systems of differential equations of geodesics in the form of Lie algebras of infinitesimal projective transformations (projective motions) of 5-dimensional pseudo-Riemannian manifolds (M^5,g) --- h-spaces H_32,3 of type {32} are investigated. Necessary and sufficient conditions are determined under which H_32,3 is a space of constant (zero) curvature. Non-homothetic projective motions in H_32,3 of non-constant curvature are found, homotheties and isometries of the indicated spaces are investigated, dimensions, basis elements and structural equations of maximal projective Lie algebras acting in them are determined. As a result, a classification of h-spaces H_32,3 of type {32} by (non-homothetic) Lie algebras of infinitesimal projective and affine transformations is obtained.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	systems of partial differential equations	ru_RU
dc.subject	differential geometry	ru_RU
dc.subject	five-dimensional pseudo-Riemannian manifold	ru_RU
dc.subject	h-space H_ 32 of type {32}	ru_RU
dc.subject	non-homothetical projective motion	ru_RU
dc.subject	equations projective Lie algebra	ru_RU
dc.subject	projective-geometric theory of ODE.	ru_RU
dc.title	SYMMETRIES OF FIVE-DIMENSIONAL RIGID H-SPACES H_32,3	ru_RU
dc.type	Conference proceedings in Russian journals and collections	ru_RU