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arXiv · 1401.7235

Projective-geometric aspects of homogeneous third-order Hamiltonian operators

Eugene V. Ferapontov·Maxim V. Pavlov·Raffaele F. Vitolo
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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 for two and three components is obtained.

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Eugene V. Ferapontov, Maxim V. Pavlov, Raffaele F. Vitolo. 2014-01-28. Projective-geometric aspects of homogeneous third-order Hamiltonian operators. https://doi.org/10.1016/j.geomphys.2014.05.027

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