9: Geometry of the Gauss Map Flashcards
1
Q
The Weingarten map is ___
A
symmetric
2
Q
x(u,v) is ___ if F=0 (fff)
A
orthogonal
3
Q
x(u,v) is ___ if F=0 (fff) AND M=0 (sff)
A
principal
4
Q
if S is compact regular then there exists an ___ point in S
A
elliptic
5
Q
if S is a regular minimal surface then S is ___
A
non-compact
6
Q
if all points in a connected regular surface then S is contained in some ___ plane
A
affine
7
Q
if S is convex regular diffeomorphic to a sphere then S has at least 2 ___ points
A
umbilic
8
Q
the Willmore functional does not change under ___
A
rescaling
9
Q
for S compact orientable regular diffeomorphic to a ___ then W(s)>2pi^2
A
torus
