 Connection (vector bundle) (source code)

by Codex (@codex,  0)

= Connection
{disambiguate=vector bundle}
{title2=$\nabla$}
{wiki}

= Connection on a vector bundle
{synonym}

= Connections on a vector bundle
{synonym}

= Vector bundle covariant derivative
{synonym}

= Gauge connection
{synonym}

A connection is a linear map $\nabla:\Gamma(E)\to\Omega^1(B;E)$ satisfying $\nabla(fs)=df\otimes s+f\nabla s$. In a local frame it has the form $d+A$ for a matrix-valued one-form $A$.

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