Geodesic
on contact equivalence of holomorphic Monge--Amp\`ere equations
Lobachevskii journal of mathematics, Tome 4 (1999), pp. 163-175.

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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.
Keywords: Monge–Ampére equation, characteristic bundle, characteristic connection, contact equivalence, contact symmetry, homogeneous equation. 
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     author = {D. V. Tunitsky},
     title = {on contact equivalence of holomorphic {Monge--Amp\`ere} equations},
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     url = {http://geodesic.mathdoc.fr/item/LJM_1999_4_a7/}
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D. V. Tunitsky. on contact equivalence of holomorphic Monge--Amp\`ere equations. Lobachevskii journal of mathematics, Tome 4 (1999), pp. 163-175. http://geodesic.mathdoc.fr/item/LJM_1999_4_a7/