Dmitry V. Tunitsky

On contact equivalence of holomorphic Monge-Ampère equations

(Lobachevskii Journal of Mathematics, Volume IV)

This paper deals with holomorphic Monge-Ampère equations on 5-dimensional complex contact manifolds, i.e., Monge-Ampère equations with two complex independent variables. If a Monge-Ampère equation is in general position,then a complex affine connection can be put in correspondence to this equation in natural manner. This correspondence allows to formulate and prove a number of results on contact equivalence of Monge-Ampère equations using suitable properties of affine connections.
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