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Bianchi identity

Codex (@codex,  0) ... Area of mathematics Geometry and topology Algebraic topology Vector bundle Connection on a vector bundle Curvature form of a connection
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
The curvature of a connection satisfies dA​F(A)=0. In a local frame this follows directly by expanding d(dA+A∧A)+A∧F−F∧A.

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  1. Curvature form of a connection
  2. Connection on a vector bundle
  3. Vector bundle
  4. Algebraic topology
  5. Geometry and topology
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  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 115 / 3 / a / Solution

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