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Conformal map

  1. Mar 25, 2010 #1
    A couple friends worked on this problem (for a week now...)

    Trying to show that a conformal bijective map that sends vertices of one rectangle to vertices of another rectangle on the complex plane has to be linear.
    I would appreciate any help, Thank you.
     
  2. jcsd
  3. Mar 25, 2010 #2

    Hurkyl

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    Well, the map is completely determined by its action on three points, right? Just check every possible case by hand. One or more should be "obvious", geometrically speaking.
     
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