開放式課程>>自然科學學群>>幾何二>>第15講 The Intrinsic Geometry of Surfaces: Gauss Remarkable Theorem (cont.)

第15講 The Intrinsic Geometry of Surfaces: Gauss Remarkable Theorem (cont.)

L15_A
         1. Codazzi-Mainardi Equations and Gauss Formula (cont.)


L15_B

       1. Gauss Curvature in Terms of the First Fundamental Form
       2. Example: Surface of Revolution 
       3. Proof: Gauss’s Theorema Egregium
       4. Example: Catenoid and Helicoid 

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