Cartan-Kuranishi prolongation theorem

Cartan-Kuranishi prolongation theorem

Given an exterior differential system defined on a manifold "M", the Cartan-Kuranishi prolongation theorem says that after a finite number of "prolongations" the system is either "in involution" (admits at least one 'large' integral manifold), or is impossible.

References

* M. Kuranishi, "On É. Cartan's prolongation theorem of exterior differential systems", Amer. J. Math., vol. 79, 1957, p. 1-47


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