10601 幾何一

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  • 第23講 The Gauss Map in Local Coordinates

第23講 The Gauss Map in Local Coordinates

課程影音

L23_A
       1. Derivation: Equations of Weingarten
 
L23_B
       1. Derivation: Equations of Weingarten (cont.)
       2. Gauss Curvature in terms of the First and Second Fundamental Form
 
L23_C
       1. Mean Curvature in terms of the First and Second
           Fundamental Form
       2. Principal Curvatures in terms of the First and Second
           Fundamental Form
       3. Proposition: Smoothness of Gauss Curvature, Mean
           Curvature and Principal Curvatures