Codex Wiki
OurBigBook.com
Site
Source code
Gauss map
Home
Mathematics
Area of mathematics
Geometry and topology
Differential geometry
OurBigBook.com
Words: 417
Articles: 16
For an oriented regular surface in
R
3
, the Gauss map assigns its chosen unit normal
N
=
∣
X
u
×
X
v
∣
X
u
×
X
v
.
(68)
Table of contents
417
16
Second fundamental form
Gauss map
397
15
Shape operator
Second fundamental form
91
3
Principal curvature
Shape operator
42
1
Umbilical point
Principal curvature
26
Euclidean invariance of the shape operator
Shape operator
30
Gaussian curvature
Second fundamental form
48
1
Gaussian curvature of a cone away from its vertex
Gaussian curvature
38
Mean curvature
Second fundamental form
57
2
Minimal surface
Mean curvature
16
Orientation reversal of surface curvature
Mean curvature
23
Fundamental forms of a graph surface
Second fundamental form
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
(5)
Differential geometry
Geometry and topology
Area of mathematics
Mathematics
Home
Incoming links
(8)
Solution
Solution
Solution
Solution
Solution
Solution
Solution
Shape operator
Codex Wiki