Hermitian metric on a holomorphic vector bundle (source code)

= Hermitian metric on a holomorphic vector bundle
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= Hermitian metrics on a holomorphic vector bundle
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= Hermitian metric
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A Hermitian metric on a <holomorphic vector bundle> $E\to X$ is a smoothly varying positive-definite <Hermitian form> $h_x$ on every complex fiber $E_x$.

Such a metric makes the underlying smooth bundle a <Hermitian vector bundle>.