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# Stereographic projection help watch

1. Could anyone help me on this question?

I think the transition function is meant to say F=phi1 o (phi2)^-1 (as in a composition of functions).

Using the given relation I get phi1 to be (2cot(theta/2)cos(phi), 2cot(theta/2)sin(phi)), I think that's correct? I guess it's more the inversion of phi2 and the transition function I need help with I suppose, not sure how to invert phi2?

Also, my second question is, I am unsure of the stereographic projection of S3 (3-sphere) in R4 from the poles (1,0,0,0) and (-1,0,0,0)?

Many thanks
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2. May I ask what year this is?
3. (Original post by poorform)
May I ask what year this is?
some optional course I assume involving topology, algebra and differential geometry
4. (Original post by TeeEm)
some optional course I assume involving topology, algebra and differential geometry
Looks interesting and difficult.
5. (Original post by poorform)
Looks interesting and difficult.
indeed

(the moment algebra and/or analysis comes in I am out ...)
6. (Original post by poorform)
May I ask what year this is?
3rd year Differential Geometry

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Updated: January 29, 2015
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