第11講 The Intrinsic Geometry of Surfaces: Isometries and Conformal
Title
第11講 The Intrinsic Geometry of Surfaces: Isometries and Conformal
Video
L11A
Syllabus
章節大綱
L11A 1. Parametrizations for Catenoid and Helicoid 2. Isometry and Local Isometry 3. Example: Local Isometric; The Cylinder and Plane in R^2
L11B 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
L11C 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