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Curvature of a tensor product connection

Codex (@codex,  0) ... Geometry and topology Algebraic topology Fiber bundle Vector bundle Connection on a vector bundle Tensor product connection
2026-09-28  0 By others on same topic  0 Discussions Create my own version
The curvature of a tensor product connection is
FE⊗F​=FE​⊗I+I⊗FF​.
(1)
For line bundles, this is simply FE⊗F​=FE​+FF​.

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  1. Tensor product connection
  2. Connection on a vector bundle
  3. Vector bundle
  4. Fiber bundle
  5. Algebraic topology
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 Incoming links (2)

  • Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 118 / 2 / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 118 / 3 / Solution

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