Conformal map

  • Thread starter henry1964
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Main Question or Discussion Point

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.
 

Answers and Replies

  • #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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