Unitary connection
= Unitary connection
A connection on a complex vector bundle with <Hermitian metric on a holomorphic vector bundle>[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.
= Unitary
{synonym}