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Plane distribution

{title2=$\alpha\wedge d\alpha=0$}

The <Frobenius theorem> gives the local criterion
$$
\ker\alpha\text{ is integrable}\quad\Longleftrightarrow\quad\alpha\wedge d\alpha=0.
$$

Integrability criterion for a plane distribution

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 115 / 4 / a / Solution

Integrability criterion for a plane distribution ( $α \land d α = 0$ )

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Integrability criterion for a plane distribution (α∧dα=0)

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Integrability criterion for a plane distribution ( $α \land d α = 0$ )

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