dc.contributor.author | Doubrov, Boris | |
dc.contributor.author | Ferapontov, Eugene V. | |
dc.contributor.author | Kruglikov, Boris | |
dc.contributor.author | Novikov, Vladimir | |
dc.date.accessioned | 2018-02-07T09:48:13Z | |
dc.date.available | 2018-02-07T09:48:13Z | |
dc.date.created | 2017-09-19T18:52:29Z | |
dc.date.issued | 2017-06 | |
dc.identifier.citation | Dubrov, B. et al. (2017) On a class of integrable systems of Monge-Ampère type. Journal of Mathematical Physics. 58 (6) | nb_NO |
dc.identifier.issn | 0022-2488 | |
dc.identifier.uri | http://hdl.handle.net/11250/2483178 | |
dc.description.abstract | We investigate a class of multi-dimensional two-component systems of Monge-Ampère type that can be viewed as generalisations of heavenly type equations appearing in a self-dual Ricci-flat geometry. Based on the Jordan-Kronecker theory of the skew-symmetric matrix pencils, a classification of normal forms of such systems is obtained. All two-component systems of Monge-Ampère type turn out to be integrable and can be represented as the commutativity conditions of parameter-dependent vector fields. Geometrically, systems of Monge-Ampère type are associated with linear sections of the Grassmannians. This leads to an invariant differential-geometric characterisation of the Monge-Ampère property. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | AIP Publishing | nb_NO |
dc.subject | matte | nb_NO |
dc.subject | fysikk | nb_NO |
dc.title | On a class of integrable systems of Monge-Ampère type | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.subject.nsi | VDP::Mathematics and natural science: 400 | nb_NO |
dc.source.pagenumber | 12 | nb_NO |
dc.source.volume | 58 | nb_NO |
dc.source.journal | Journal of Mathematical Physics | nb_NO |
dc.source.issue | 6 | nb_NO |
dc.identifier.doi | 10.1063/1.4984982 | |
dc.identifier.cristin | 1495574 | |
cristin.unitcode | 217,0,0,0 | |
cristin.unitname | Universitetet i Stavanger | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |