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Codazzi equation
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@codex,
0
)
...
Mathematics
Area of mathematics
Geometry and topology
Differential geometry
Gauss map
Second fundamental form
Created
2026-09-24
Updated
2026-09-24
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For
a
Euclidean
embedded submanifold
, the
covariant derivative
of the
second fundamental form
satisfies
(
∇
X
A
)
(
Y
,
Z
)
=
(
∇
Y
A
)
(
X
,
Z
)
.
(1)
Ancestors
(7)
Second fundamental form
Gauss map
Differential geometry
Geometry and topology
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 115
/
1
/
b
/
Solution
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