開放式課程>>自然科學學群>>幾何二>>第 17 講 Parallel Transport and Geodesics

第 17 講 Parallel Transport and Geodesics


 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 

課程影音

圖片上傳中...