Cartan's concept of duality for second-order ordinary differential equations (Q557161)
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scientific article; zbMATH DE number 2182186
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cartan's concept of duality for second-order ordinary differential equations |
scientific article; zbMATH DE number 2182186 |
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Cartan's concept of duality for second-order ordinary differential equations (English)
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23 June 2005
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The paper discusses the theory of second-order ordinary differential equations initiated by Élie Cartan in 1924 [Bull. Soc. Math. Fr. 52, 205--241 (1924; JFM 50.0500.02 )], as renewed by a recent paper of \textit{S. Frittelli, C. Kozameh, E.T. Newman} [Differential geometry from differential equations, Commun. Math. Phys. 223, 383--408 (2001; Zbl 1027.53080)]. In order to help the modern reader in understanding Cartan's approach, the authors recall and use Sharpe's modern account of Cartan's theory of connexions.
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Cartan differential equations
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Cartan projective connection
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Second-order ordinary differential equation
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Duality
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CR structure
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