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Curvature of a tensor product connection
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Geometry and topology
Algebraic topology
Fiber bundle
Vector bundle
Connection on a vector bundle
Tensor product connection
2026-09-28
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The curvature of
a
tensor product connection
is
F
E
⊗
F
=
F
E
⊗
I
+
I
⊗
F
F
.
(1)
For
line bundles
, this is simply
F
E
⊗
F
=
F
E
+
F
F
.
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(9)
Tensor product connection
Connection on a vector bundle
Vector bundle
Fiber bundle
Algebraic topology
Geometry and topology
Area of mathematics
Mathematics
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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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