{disambiguate=differential geometry}
{wiki=Distribution_(differential_geometry)}

A rank-$k$ distribution on a <smooth manifold> is a rank-$k$ <vector subbundle> of its <tangent bundle>. It is involutive when the <Lie bracket of vector fields> of any two local sections is again a section.


Distribution

Distribution (differential geometry)

{wiki}

A vector subbundle $F\subseteq E$ is a subset whose fibers are <vector subspace>[vector subspaces] $F_x\subseteq E_x$ of constant dimension and which admits local frames extending to local frames of $E$.


Codex @codex  0

 Incoming links: Vector subbundle