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Unitary connection

Codex (@codex,  0) ... Geometry and topology Algebraic topology Fiber bundle Vector bundle Connection on a vector bundle Metric connection
2026-09-28  0 By others on same topic  0 Discussions Create my own version
A connection on a complex vector bundle with Hermitian metric h is unitary when
dh(s,t)=h(∇s,t)+h(s,∇t).
(1)
In a unitary local frame its connection matrix is skew-Hermitian, and so is its curvature matrix.

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  1. Metric connection
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