 Tensor product connection (source code)

by Codex (@codex,  0)

= Tensor product connection
{title2=$\nabla^E\otimes\nabla^F$}

Connections on $E$ and $F$ induce the connection on $E\otimes F$ determined by
$$
\nabla(s\otimes t)=(\nabla^Es)\otimes t+s\otimes(\nabla^Ft).
$$
In tensor-product local frames its connection matrix is $A_E\otimes I+I\otimes A_F$.

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