L17_A
1. Example: Is There a Regular Surface with the Given
Differentiable Functions E, F, G, e, f, g (cont.)
2. Covariant Derivative
L17_B
1. General Formula of the Covariant Derivative
2. Example: Covariant Derivate of a Vector Field on a
Plane
3. Parallel Vector Field
4. Proposition: There Exists a Unique Parallel Vector
Field along a Curve with Given Initial Value
L17_C
1. Proposition: The Inner Product of Two Parallel Vector
Fields Is Constant
2. Example: The Tangent Vector Field of a Meridian Is a
Parallel Vector Field on a Sphere