Projective-geometric aspects of homogeneous third-order Hamiltonian operators

Ferapontov, E.V.; Pavlov, Maxim V.; Vitolo, R.F.

Projective-geometric aspects of homogeneous third-order Hamiltonian operators

journal contribution

posted on 2016-02-05, 11:27 authored by E.V. Ferapontov, Maxim V. Pavlov, R.F. Vitolo

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.

History

School

Science

Department

Mathematical Sciences

Published in

Journal of Geometry and Physics

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.

Publisher

Version

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/

Publication date

2014

Notes

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