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Fundamental forms of a graph surface
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Mathematics
Area of mathematics
Geometry and topology
Differential geometry
Gauss map
Second fundamental form
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Words: 178
Articles: 5
For
X
(
x
,
y
)
=
(
x
,
y
,
h
(
x
,
y
))
and
W
=
1
+
h
x
2
+
h
y
2
,
I
=
(
1
+
h
x
2
h
x
h
y
h
x
h
y
1
+
h
y
2
)
,
II
=
W
1
(
h
xx
h
x
y
h
x
y
h
yy
)
.
(74)
The upward unit normal is
(
−
h
x
,
−
h
y
,
1
)
/
W
.
Table of contents
178
5
Gaussian curvature of a graph surface
Fundamental forms of a graph surface
7
Mean-curvature comparison at tangential contact
Fundamental forms of a graph surface
81
1
Gaussian curvature has no tangential-contact comparison principle
Mean-curvature comparison at tangential contact
43
Tangency to a plane along a curve forces zero Gaussian curvature
Fundamental forms of a graph surface
48
Minimal surface equation for a graph
Fundamental forms of a graph surface
25
Ancestors
(7)
Second fundamental form
Gauss map
Differential geometry
Geometry and topology
Area of mathematics
Mathematics
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