Cartan–Kuranishi Prolongation Theorem

(Theory)

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Theory
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What is 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.

Technology Types

differential equationequationmathematical statementpartial differential equationpropositionstatementtheoremtheorems in analysistheory

Synonyms

Cartan-Kuranishi prolongation theorem

Tech Info


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