INFINITESIMAL CONFORMAL TRANSFORMATIONS OF RIEMANNIAN MANIFOLDS WHICH PRESERVE THE GENERALIZED EINSTEIN TENSOR
| dc.contributor.author | Березовський, Володимир Євгенійович | |
| dc.contributor.author | Ненька, Руслана Володимирівна | |
| dc.contributor.author | Лещенко, Світлана Валентинівна | |
| dc.date.accessioned | 2020-04-02T17:55:15Z | |
| dc.date.available | 2020-04-02T17:55:15Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | We study conformal transformations leaving the generalized Einstein tensor invariant. We have obtained the system of partial differential equations for the transformations, and explored its integrability conditions. Hence we have got the necessary and sufficient conditions in order that a manifold admit a group of conformal motions, preserving the generalized Einstein tensor. Also we have estimated the number of parameters which the group depends on. | uk_UA |
| dc.identifier.citation | CHEREVKO Y., BEREZOVSKII V., NENKA R., LESHCHENKO S. INFINITESIMAL CONFORMAL TRANSFORMATIONS OF RIEMANNIAN MANIFOLDS WHICH PRESERVE THE GENERALIZED EINSTEIN TENSOR \\ Proceedigs 19th Conference on Applied Mathematics APLIMAT 2020, PP. 244-252 | uk_UA |
| dc.identifier.issn | 1337-6365 | |
| dc.identifier.uri | http://lib.udau.edu.ua/handle/123456789/7399 | |
| dc.language.iso | en | uk_UA |
| dc.publisher | Institute of Mathematics and Physics, SjF STU in Bratislava | uk_UA |
| dc.subject | affine connection | uk_UA |
| dc.subject | Riemannian manifolds | uk_UA |
| dc.subject | generalized Einstein tensor | uk_UA |
| dc.subject | con- formal transformation | uk_UA |
| dc.subject | Lie derivative | uk_UA |
| dc.title | INFINITESIMAL CONFORMAL TRANSFORMATIONS OF RIEMANNIAN MANIFOLDS WHICH PRESERVE THE GENERALIZED EINSTEIN TENSOR | uk_UA |
| dc.type | Стаття | uk_UA |