on contact equivalence of holomorphic Monge–Ampère equations

D. V. Tunitsky

International Center "Sophus Lie"

Аннотация: 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.

Ключевые слова: Monge–Ampére equation, characteristic bundle, characteristic connection, contact equivalence, contact symmetry, homogeneous equation.

Представлено: Б. Н. Шапуков
Поступило: 27.07.1999

Язык публикации: английский

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