Please help. Imposing a metric to preserve distance

  • Thread starter whattttt
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  • #1
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Main Question or Discussion Point

If we use the mapping
(r,phi)---->(x,y)=
(2tan(r/2)cos(phi),
2tan(r/2)sin(phi))
Which metric do we have to impose on R^2 in order that the mapping preserves distance. Any help would be greatly appreciated. Thank you very much
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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hi whattttt! :smile:

(have a phi: φ :wink:)

tell us what you think, and we'll comment :smile:
 
  • #3
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Nice
 

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