10602 幾何二

  • 幾何二
  • 第11講 The Intrinsic Geometry of Surfaces: Isometries and Conformal

第11講 The Intrinsic Geometry of Surfaces: Isometries and Conformal

課程影音

L11_A
        1. Parametrizations for Catenoid and Helicoid
        2. Isometry and Local Isometry
        3. Example: Local Isometric; The Cylinder and Plane in R^2 



L11_B
        1. Example: Local Isometric; The Cylinder and Plane in R^2 (cont.) 
        2. Example: Every Helicoid Is Locally Isometric to Catenoid
        3. Proposition: Two Regular Surfaces Have the Same First Fundamental 
    Form in Domain U if and only if They Are Locally Isometric


L11_C
        1. Proposition: Two Regular Surfaces Have the Same
            First Fundamental Form in Domain U if and only if They
            Are Locally Isometric (cont.) 

        2. Conformal