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.
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
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