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Bianchi identity
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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
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The curvature of
a
connection satisfies
d
A
F
(
A
)
=
0
. In
a
local
frame
this follows directly by expanding
d
(
d
A
+
A
∧
A
)
+
A
∧
F
−
F
∧
A
.
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Curvature form of a connection
Connection on a vector bundle
Vector 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
/
2025
/
iii
/
Paper 115
/
3
/
a
/
Solution
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