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On a class of third-order nonlocal Hamiltonian operators.
- Source :
-
Journal of Geometry & Physics . Apr2019, Vol. 138, p285-296. 12p. - Publication Year :
- 2019
-
Abstract
- Abstract Based on the theory of Poisson vertex algebras we calculate skew-symmetry conditions and Jacobi identities for a class of third-order nonlocal operators of differential-geometric type. Hamiltonian operators within this class are defined by a Monge metric and a skew-symmetric two-form satisfying a number of differential-geometric constraints. Complete classification results in the 2-component and 3-component cases are obtained. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03930440
- Volume :
- 138
- Database :
- Academic Search Index
- Journal :
- Journal of Geometry & Physics
- Publication Type :
- Academic Journal
- Accession number :
- 134927301
- Full Text :
- https://doi.org/10.1016/j.geomphys.2018.10.018