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On a class of integrable systems of Monge-Ampere type
journal contribution
posted on 2017-06-02, 09:02 authored by B. Doubrov, Evgeny FerapontovEvgeny Ferapontov, B. Kruglikov, Vladimir NovikovVladimir NovikovWe investigate a class of multi-dimensional two-component systems of Monge-Ampere type that
can be viewed as generalisations of heavenly-type equations appearing in self-dual Ricci-flat geometry. Based on the Jordan-Kronecker theory of skew-symmetric matrix pencils, a classification of normal forms of such systems is obtained. All two-component systems of Monge-Ampere type turn out to be integrable, and can be represented as the commutativity conditions of parameter-dependent vector fields. Geometrically, systems of Monge-Ampere type are associated with linear sections of the Grassmannians. This leads to an invariant differential-geometric characterisation of the Monge-Ampere property.
History
School
- Science
Department
- Mathematical Sciences
Published in
Journal of Mathematical PhysicsCitation
DOUBROV, B. ... et al, 2017. On a class of integrable systems of Monge-Ampere type. Journal of Mathematical Physics, 58(6): 063508.Publisher
AIP PublishingVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2017-05-23Publication date
2017Notes
Reproduced from DOUBROV, B. ... et al, 2017. On a class of integrable systems of Monge-Ampere type. Journal of Mathematical Physics, 58(6): 063508, with the permission of AIP PublishingISSN
0022-2488eISSN
1089-7658Publisher version
Language
- en