Conformal and Geodesic Mappings onto Some Special Spaces
| dc.contributor.author | Березовський, Володимир Євгенійович | |
| dc.date.accessioned | 2019-07-27T12:05:14Z | |
| dc.date.available | 2019-07-27T12:05:14Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | In this paper, we consider conformal mappings of Riemannian spaces onto Ricci-2-symmetric Riemannian spaces and geodesic mappings of spaces with affine connections onto Ricci-2-symmetric spaces. The main equations for the mappings are obtained as a closed system of Cauchy-type differential equations in covariant derivatives. We find the number of essential parameters which the solution of the system depends on. A similar approach was applied for the case of conformal mappings of Riemannian spaces onto Ricci-m-symmetric Riemannian spaces, as well as geodesic mappings of spaces with affine connections onto Ricci-m-symmetric spaces. | uk_UA |
| dc.identifier.citation | Berezovski, V.; Cherevko, Y.; Rýparová, L. Conformal and Geodesic Mappings onto Some Special Spaces. Mathematics 2019, 7, 664. | uk_UA |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.uri | http://lib.udau.edu.ua/handle/123456789/6872 | |
| dc.language.iso | en | uk_UA |
| dc.publisher | MDPI AG, Basel, Switzerland | uk_UA |
| dc.subject | space with affine connection | uk_UA |
| dc.subject | riemannian space | uk_UA |
| dc.subject | ricci-m-symmetric space | uk_UA |
| dc.subject | conformal mapping | uk_UA |
| dc.subject | geodesic mapping | uk_UA |
| dc.title | Conformal and Geodesic Mappings onto Some Special Spaces | uk_UA |
| dc.type | Стаття | uk_UA |
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