Yoshinori Machida and Tohru Morimoto
On decomposable Monge-Ampere equations
(Lobachevskii Journal of Mathematics,
Vol.3, pp.185-196)
In this paper we introduce a remarkable class of Monge-Amp\`ere
systems on contact manifolds of arbitrary odd dimensions which we call
decomposable Monge-Amp\`ere systems. We show that we can associate to a
decomposable Monge-Amp\`ere 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-Amp\`ere systems.
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