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Download QR code; Print/export Download as PDF; Printable version; In other projects ... Complex vector bundle; Connection (vector bundle) Cotangent bundle; D.
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If E is a complex vector bundle, then the conjugate bundle ¯ of E is obtained by having complex numbers acting through the complex conjugates of the numbers. Thus, the identity map of the underlying real vector bundles: ¯ = is conjugate-linear, and E and its conjugate E are isomorphic as real vector bundles.