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Title: Projective-geometric aspects of homogeneous third-order Hamiltonian operators
Authors: Ferapontov, E.V.
Pavlov, Maxim V.
Vitolo, R.F.
Keywords: Hamiltonian operator
Jacobi identity
Projective group
Quadratic complex
Monge metric
Reciprocal transformation
Darboux theorem
Issue Date: 2014
Publisher: © Elsevier
Citation: FERAPONTOV, E.V., PAVLOV, M.V. and VITOLO, R.F., 2014. Projective-geometric aspects of homogeneous third-order Hamiltonian operators. Journal of Geometry and Physics, 85, pp. 16–28.
Abstract: We investigate homogeneous third-order Hamiltonian operators of differential-geometric type. Based on the correspondence with quadratic line complexes, a complete list of such operators with n≤3 components is obtained.
Description: This paper was accepted for publication in the journal Journal of Geometry and Physics and the definitive published version is available at: http://dx.doi.org/10.1016/j.geomphys.2014.05.027
Version: Accepted for publication
DOI: 10.1016/j.geomphys.2014.05.027
URI: https://dspace.lboro.ac.uk/2134/20231
Publisher Link: http://dx.doi.org/10.1016/j.geomphys.2014.05.027
ISSN: 0393-0440
Appears in Collections:Published Articles (Maths)

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