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Title: On a class of third-order nonlocal Hamiltonian operators
Authors: Casati, M.
Ferapontov, E.V.
Pavlov, Maxim V.
Vitolo, R.F.
Keywords: Nonlocal Hamiltonian operator
Monge metric
Dirac reduction
Poisson vertex algebra
Issue Date: 2018
Publisher: © Elsevier
Citation: CASATI, M. ... et al., 2018. On a class of third-order nonlocal Hamiltonian operators. Journal of Geometry and Physics, 138, pp.285-296.
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.
Description: This paper is in closed access until 9 November 2019.
Sponsor: Matteo Casati was supported by the INdAM-Cofund-2012 Marie Curie fellowship ‘MPoisCoho’. Maxim Pavlov was partially supported by the RFBR grant 17-01-00366. Raffaele Vitolo recognises financial support from the Loughborough University’s Institute of Advanced Studies, LMS scheme 2 grant, INFN by IS-CSN4 Mathematical Methods of Nonlinear Physics, GNFM of Istituto Nazionale di Alta Matematica and Dipartimento di Matematica e Fisica “E. De Giorgi” of the Universit`a del Salento
Version: Accepted for publication
DOI: 10.1016/j.geomphys.2018.10.018
URI: https://dspace.lboro.ac.uk/2134/35764
Publisher Link: https://doi.org/10.1016/j.geomphys.2018.10.018
ISSN: 0393-0440
Appears in Collections:Closed Access (Maths)

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