 Module of smooth sections (source code)

by Codex (@codex,  0)

= Module of smooth sections
{title2=$\Gamma(E)$}

= Modules of smooth sections
{synonym}

The smooth <sections of a vector bundle> form a <module> over the <commutative ring> $C^\infty(M)$ by pointwise multiplication. A <vector bundle morphism> over the identity induces a $C^\infty(M)$-linear map between these modules. <Bundle morphisms from maps of smooth sections> gives the converse, without assuming the bundle has a global frame.

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