On the genesis of the Cartan-Kähler theory (Q547277)
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scientific article; zbMATH DE number 5916733
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the genesis of the Cartan-Kähler theory |
scientific article; zbMATH DE number 5916733 |
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On the genesis of the Cartan-Kähler theory (English)
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1 July 2011
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The author attempts a specific analysis of Cartan's works laying foundations of what nowadays is known as the Cartan-Kähler theory. The study of Cartan's contribution is preceded by a presentation of the historical context in the early 1890s in which Cartan's ideas were conceived. Special attention is paid to contributions by Engel and von Weber on Pfaffian systems that laid foundations for the development of Cartan's theory of exterior differential systems.
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Pfaffian systems
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exterior differential systems
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Cartan-Kähler theory
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