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Dual connection

Codex (@codex,  0) ... Mathematics Area of mathematics Geometry and topology Algebraic topology Vector bundle Connection on a vector bundle
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
A connection on E induces one on E∗ by
(∇X​α)(s)=X(α(s))−α(∇X​s).
(1)
Its connection matrices are the negatives of the transposes of those for E.

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  1. Connection on a vector bundle
  2. Vector bundle
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  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 115 / 3 / b / Solution

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