7) Guassian Curvature And The Gauss Map Flashcards
1
Q
Define the Gaussian curvature
A
2
Q
Define explicit formulae for H, K and principal curvatures
A
3
Q
Prove
A
4
Q
Pseudosphere
Relate to sphere
A
Surface of revolution with Gaussian curvature -1 everywhere
Sphere has 1 everywhere
5
Q
The gauss map
A
6
Q
Define
A
R€U is a region, the amount by which the direction of N varies over the part σ(R) of S is measured by the area of the part N(R) of the sphere
7
Q
Prove
A
8
Q
Prove
A
9
Q
Gaussian curvature of a plane
A
10
Q
Gaussian curvature for a cylinder
A
11
Q
Gaussian curvature of unit sphere
A
