Physics – Mathematical Physics
Scientific paper
2000-03-23
Differential Geometry and its Applications 19 (2003) 147-166
Physics
Mathematical Physics
17 pages
Scientific paper
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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