On contact equivalence of holomorphic Monge-Ampére equations (Q1967133)
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scientific article; zbMATH DE number 1413879
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On contact equivalence of holomorphic Monge-Ampére equations |
scientific article; zbMATH DE number 1413879 |
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On contact equivalence of holomorphic Monge-Ampére equations (English)
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9 April 2000
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For Monge-Ampère equations with \(2\) complex independent variables, a geometrical framework is proposed in terms of sheaf theory. For a special case of such equations, called ``in general position'', a linear connection is associated and then the equivalence of Monge-Ampère equations is characterized using the torsion and the curvature of this linear connection.
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Monge-Ampére equations
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characteristic bundle
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characteristic connection
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contact equivalence
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contact symmetry
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homogeneous equation
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