10601 幾何一

  • 幾何一
  • 第21講 The Gauss Map and Its Fundamental Properties (cont.)

第21講 The Gauss Map and Its Fundamental Properties (cont.)

課程影音

L21_A
       1. Definition: Gauss Curvature and Mean Curvature
       2. Definition: Elliptic, Hyperbolic, Planar and Parabolic Point
 
L21_B
       1. Definition: Umbilical Point
       2. Example: Study the Gauss Map on {2z=x^2+y^2} at (0,0,0)
 
L21_C
       1. Proposition: A Connected Surface with Every Point Being Umbilical
           Point Is a Piece of Plane or Sphere