Geodesic
On decomposable Monge–Ampère equations
Lobachevskii journal of mathematics, Tome 3 (1999), pp. 185-196 
Y. Machida; T. Morimoto. On decomposable Monge–Ampère equations. Lobachevskii journal of mathematics, Tome 3 (1999), pp. 185-196. http://geodesic.mathdoc.fr/item/LJM_1999_3_a8/
@article{LJM_1999_3_a8,
     author = {Y. Machida and T. Morimoto},
     title = {On decomposable {Monge{\textendash}Amp\`ere} equations},
     journal = {Lobachevskii journal of mathematics},
     pages = {185--196},
     year = {1999},
     volume = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_1999_3_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we introduce a remarkable class of Monge–Ampère systems on contact manifolds of arbitrary odd dimensions which we call decomposable Monge–Ampère systems. We show that we can associate to a decomposable Monge–Ampère system the characteristic systems enjoying nice properties, and that most of the results in the case of two independent variable as discussed in [M2] can be naturally generalized to this class of decomposable Monge–Ampère systems.