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On symplectic classification of effective 3-forms and Monge-Ampere equations | B. Banos
; | Date: |
23 Mar 2000 | Subject: | Mathematical Physics; Differential Geometry | math-ph math.DG math.MP | 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. | Source: | arXiv, math-ph/0003026 | Services: | Forum | Review | PDF | Favorites |
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