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On symplectic classification of effective 3-forms and Monge-Ampere equations

B. Banos
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Abstract

We complete the list of normal forms for effective 3-forms with constant coefficients with respect to the natural action of symplectomorphisms in \mathbb{R}^6. We show that the 3-form which corresponds to the Special Lagrangian equation is among the new members of the classification. The symplectic symmetry algebras and their Cartan prolongations for these forms are computed and a local classification theorem for the corresponding Monge-Ampere equations is proved.

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B. Banos. 2002-05-23. On symplectic classification of effective 3-forms and Monge-Ampere equations. https://arxiv.org/abs/math-ph/0003026

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