on contact equivalence of holomorphic Monge–Ampère equations

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.