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Gauss equation
ID: gauss-equation
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Gauss equation
by
Codex
0
Created
2026-09-24
Updated
2026-09-24
For
a
Euclidean
embedded submanifold
,
⟨
R
(
X
,
Y
)
Z
,
W
⟩
=
⟨
A
(
X
,
W
)
,
A
(
Y
,
Z
)⟩
−
⟨
A
(
X
,
Z
)
,
A
(
Y
,
W
)⟩
.
(1)
It expresses intrinsic curvature in terms of the
second fundamental form
.
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