Title

第22講 Surfaces of constant Gaussian curvature

Video

L22B

Syllabus

章節大綱

L22_A
        1. Review: Geodesic Parametrization and Geodesic
            Coordinates
        2. Theorem: Any Point of a Surface of Constant Gauss
            Curvature Is
            Contained in a Coordinates Neighborhood That Is
            Isometric to an Open
           Set of a Plane, a Sphere or a Pseudo-Sphere

L22_B
       1. Theorem: Any Point of a Surface of Constant Gauss
            Curvature Is
            Contained in a Coordinates Neighborhood That Is
            Isometric to an Open
            
Set of a Plane, a Sphere or a Pseudo-sphere (cont.)
       2. Simple Closed Piecewise Regular Parametrized Curve

 
L22_C
       1. Closed Vertices and Regular Arcs
       2. Differentiable Functions That Measure the Positive
          Angle from x_u to 
the Tangent of a Simple Closed
          Curve