On symplectic classification of effective 3-forms and Monge-Ampere equations
Banos, B.
arXiv, 0003026 / Harvested from arXiv
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.
Publié le : 2000-03-23
Classification:  Mathematical Physics,  Mathematics - Differential Geometry
@article{0003026,
     author = {Banos, B.},
     title = {On symplectic classification of effective 3-forms and Monge-Ampere
  equations},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0003026}
}
Banos, B. On symplectic classification of effective 3-forms and Monge-Ampere
  equations. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0003026/