8: Smooth Maps Between Surfaces Flashcards
1
Q
smoothness of f does not depend on the choice of local ___
A
parametrisation
2
Q
a ___ of the surface is a smooth map which assigns to every point p a unit normal vector N(p)
A
gauss map
3
Q
a gauss map of a regular surface ca always be defined in a ___ of any p
A
neighbourhood
4
Q
a surface is called ___ is there exists a ___ Gauss map
A
orientable/global
5
Q
local isometries preserve:
-___ and ___ of vectors
-___ between vectors and curves
-___ of curves
A
norms/inner products/angles/lengths
6
Q
Global isometries preserve:
-local isometries
-___
-___
A
distances/areas
