Almost geodesic mappings of affinely connected spaces that preserve the Riemannian curvature
| dc.contributor.author | Березовський, Володимир Євгенійович | |
| dc.contributor.author | Berezovskii, V. E. | |
| dc.date.accessioned | 2015-12-30T15:16:52Z | |
| dc.date.available | 2015-12-30T15:16:52Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | In the present paper the authors give some conditions preserved Riemannian curvature tensor with respect to almost geodesic mappings of affinely connected spaces. It is noteworthy that these conditions are valid for other types of mappings. For the almost geodesic mappings of first type, when the Riemannian curvature tensor is invariant, the authors deduce a differential equations system of Cauchy type. In addition the authors investigate almost geodesic mappings of first type, where the Weyl tensor of projective curvature is invariant and Riemannian tensor is not invariant. | uk_UA |
| dc.identifier.citation | Vladimir Berezovski, Sándor Bácsó, Josef Mikeš. Almost geodesic mappings of affinely connected spaces that preserve the Riemannian curvature. Annales Mathematicae et Informaticae, 45 (2015), pp. 3-10 | uk_UA |
| dc.identifier.issn | 1787-5021, 1787-6117 | |
| dc.identifier.uri | http://lib.udau.edu.ua/handle/123456789/1789 | |
| dc.language.iso | en | uk_UA |
| dc.publisher | Líceum University Press | uk_UA |
| dc.subject | almost geodesic mapping | uk_UA |
| dc.subject | Riemannian curvature tensor | uk_UA |
| dc.title | Almost geodesic mappings of affinely connected spaces that preserve the Riemannian curvature | uk_UA |
| dc.type | Стаття | uk_UA |