| dc.contributor.author | Urban, Zbyněk | |
| dc.contributor.author | Volná, Jana | |
| dc.date.accessioned | 2019-11-22T08:17:55Z | |
| dc.date.available | 2019-11-22T08:17:55Z | |
| dc.date.issued | 2019 | |
| dc.identifier.citation | Journal of Mathematical Physics. 2019, vol. 60, issue 9, art. no. 092902. | cs |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.issn | 1089-7658 | |
| dc.identifier.uri | http://hdl.handle.net/10084/138966 | |
| dc.description.abstract | Locally variational systems of differential equations on smooth manifolds, having certain de Rham cohomology group trivial, automatically possess a global Lagrangian. This important result due to Takens is, however, of sheaf-theoretic nature. A new constructive method of finding a global Lagrangian for second-order ODEs on 2-manifolds is described on the basis of the solvability of the exactness equation for the Lepage 2-forms and the top-cohomology theorems. Examples from geometry and mechanics are discussed. | cs |
| dc.language.iso | en | cs |
| dc.publisher | American Institute of Physics | cs |
| dc.relation.ispartofseries | Journal of Mathematical Physics | cs |
| dc.relation.uri | https://doi.org/10.1063/1.5100351 | cs |
| dc.rights | Published under license by AIP Publishing. | cs |
| dc.title | On a global Lagrangian construction for ordinary variational equations on 2-manifolds | cs |
| dc.type | article | cs |
| dc.identifier.doi | 10.1063/1.5100351 | |
| dc.type.status | Peer-reviewed | cs |
| dc.description.source | Web of Science | cs |
| dc.description.volume | 60 | cs |
| dc.description.issue | 9 | cs |
| dc.description.firstpage | art. no. 092902 | cs |
| dc.identifier.wos | 000488816700027 | |