Mapping preserving distance

  • Thread starter whattttt
  • Start date
  • #1
18
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Can someone please exPlain to me what the phrase. Which metric do we have to impose in order that the mapping preserves distance means.
The example I have is
((-),phi)--->(x,y) =
(2a tan(theta/2)cos(phi) ,
2a tan(theta/2)sin(phi)) thanks
 

Answers and Replies

  • #2
236
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It means you need to find a metric [tex]\delta[/tex] such that for all [tex](\theta,\phi)[/tex] you have [tex]\delta(\theta,\phi)=\delta(2a\tan(\theta/2)\cos\phi,2a\tan(\theta/2)\sin\phi)[/tex].
 
  • #3
18
0
I guess it will be a diagonal metric but could you possibly give me a hint how to work out the other2 entries. Thanks
 

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