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Title

第17講 Parallel Transport and Geodesics

第1節

L17A

第2節

L17B

第3節

L17C

Syllabus

章節大綱


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