L17A 1. Example: Is There a Regular Surface with the Given Differentiable Functions E, F, G, e, f, g (cont.) 2. Covariant Derivative
L17B 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
L17C 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