Array ( [0] => Array ( [title] => L11A [link] => https://www.youtube.com/embed/HFSgYi-MukE ) [1] => Array ( [title] => L11B [link] => https://www.youtube.com/embed/nuARJ1gIOJY ) [2] => Array ( [title] => L11C [link] => https://www.youtube.com/embed/t_iy3XwdrEY ) ) 國立清華大學開放式課程OpenCourseWare(NTHU, OCW) - 第11講 The Intrinsic Geometry of Surfaces: Isometries and Conformal

Title

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

第1節

L11A

第2節

L11B

第3節

L11C

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