L22_A
1. Review: Geodesic Parametrization and Geodesic
Coordinates
Coordinates
2. Theorem: Any Point of a Surface of Constant Gauss
Curvature Is
Curvature Is
Contained in a Coordinates Neighborhood That Is
Isometric to an Open
Isometric to an Open
Set of a Plane, a Sphere or a Pseudo-Sphere
L22_B
1. Theorem: Any Point of a Surface of Constant Gauss
Curvature Is
Curvature Is
Contained in a Coordinates Neighborhood That Is
Isometric to an Open
Set of a Plane, a Sphere or a Pseudo-sphere (cont.)
Isometric to an Open
Set of a Plane, a Sphere or a Pseudo-sphere (cont.)
2. Simple Closed Piecewise Regular Parametrized Curve
L22_C
1. Closed Vertices and Regular Arcs
2. Differentiable Functions That Measure the Positive
Angle from x_u to the Tangent of a Simple Closed
Curve
Angle from x_u to the Tangent of a Simple Closed
Curve