Unitary connection (source code)

= Unitary connection

= Unitary
{synonym}

A connection on a complex vector bundle with <Hermitian metric> $h$ is unitary when
$$
d\,h(s,t)=h(\nabla s,t)+h(s,\nabla t).
$$
In a unitary local frame its connection matrix is skew-Hermitian, and so is its curvature matrix.