Geodesic
On decomposable Monge--Amp\`ere equations
Lobachevskii journal of mathematics, Tome 3 (1999), pp. 185-196

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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. 
@article{LJM_1999_3_a8,
     author = {Y. Machida and T. Morimoto},
     title = {On decomposable {Monge--Amp\`ere} equations},
     journal = {Lobachevskii journal of mathematics},
     pages = {185--196},
     publisher = {mathdoc},
     volume = {3},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_1999_3_a8/}
}
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Y. Machida; T. Morimoto. On decomposable Monge--Amp\`ere equations. Lobachevskii journal of mathematics, Tome 3 (1999), pp. 185-196. http://geodesic.mathdoc.fr/item/LJM_1999_3_a8/