 Chern curvature (source code)

by Codex (@codex,  0)

= Chern curvature
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{title2=$\Theta_D=D^2$}

The <vector-bundle curvature> of the unique metric-compatible holomorphic Chern connection is an endomorphism-valued form of type $(1,1)$. It is Dolbeault closed and represents the <curvature Dolbeault class>. Its trace gives normalized first-Chern forms, while its full <endomorphism> action enters the <Lefschetz-Dolbeault curvature commutator>.

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