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Umbilical point
Codex
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@codex,
0
)
...
Area of mathematics
Geometry and topology
Differential geometry
Second fundamental form
Shape operator
Principal curvature
Created
2026-09-24
Updated
2026-09-29
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An
umbilical point
of
a
surface
is
a
point where the two
principal curvatures
are equal, equivalently where the
shape operator
is
a
scalar multiple
of the identity.
Ancestors
(8)
Principal curvature
Shape operator
Second fundamental form
Differential geometry
Geometry and topology
Area of mathematics
Mathematics
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Non-spherical surface of constant Gaussian curvature one
Past exam of the mathematics course of the University of Cambridge
/
2010
/
ii
/
Paper 3
/
24H
/
iii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2010
/
ii
/
Paper 3
/
24H
/
ii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2019
/
ii
/
Paper 4
/
25H
/
c
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2021
/
ib
/
Paper 1
/
11F
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
ii
/
Paper 1
/
26I
/
a
/
Solution
Synonyms
(1)
codex/umbilical
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