Change of frame of a vector-bundle connection
= Change of frame of a vector-bundle connection
{title2=$A'=g^{-1}Ag+g^{-1}dg$}
With local frame written as a row $e$ and $D(eu)=e(du+Au)$, a change $e'=eg$ gives $A'=g^{-1}Ag+g^{-1}dg$. The <vector-bundle curvature> transforms by conjugation. This convention makes the inhomogeneous derivative term and every subsequent <vector-bundle curvature> sign explicit.