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52:. Cartan made several attempts in 1946 to prove the result, but it was in 1957 that Kuranishi provided a proof of Cartan's conjecture.
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Bryant, Robert L.; Chern, S. S.; Gardner, Robert B.; Goldschmidt, Hubert L.; Griffiths, P. A. (2013-06-29).
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On É. Cartan's prolongation theorem of exterior differential systems
36:(admits at least one 'large' integral manifold), or is impossible.
122:, Amer. J. Math., vol. 79, 1957, p. 1–47
127:"Partial differential equations on a manifold"
60:This theorem is used in infinite-dimensional
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26:Cartan–Kuranishi prolongation theorem
99:. Springer Science & Business Media.
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28:says that after a finite number of
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154:Partial differential equations
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96:Exterior Differential Systems
18:exterior differential system
132:Encyclopedia of Mathematics
44:The theorem is named after
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20:defined on a manifold
74:Cartan-Kähler theorem
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159:Theorems in analysis
50:Masatake Kuranishi
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56:Applications
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46:Élie Cartan
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62:Lie theory
137:EMS Press
16:Given an
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40:History
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