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An algebraic approach
to exterior differential systems
Harold H. Johnson |
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Vol. 17 (1966), No. 3, 423–434
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Abstract |
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This paper concerns E. Cartan’s theory of systems of exterior differential forms. We define a purely algebraic model which determines many of the system’s properties. By algebraic constructions such concepts as “involutive”, “characters” and “prolongations” are defined and the main theorems are given simple algebraic proofs. These methods are applied to characterize systems which reproduce themselves under prolongations. The prolongation theorem of Kuranishi is proved algebraically. |
Mathematical Subject Classification
Primary: 57.70
Secondary: 53.45
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Milestones
Received: 10 November 1964
Published: 1 June 1966
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Authors |
| Harold H. Johnson | |
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