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>> No.15576143 [DELETED]  [View]
File: 11 KB, 1882x978, proj.png [View same] [iqdb] [saucenao] [google]
15576143

This is not homework, Im self-studying and I've been stuck with the following problem about differential geometry for some time now:
>Prove that the stereographic projection from the lower half of the sphere with center (0, 0, 1) to the plane (carries points from the sphere to the plane like in pic rel) carries geodesics to geodesics.
This problem appears in a section dedicated to the exponential map, so it may use the exponential map.
Thanks

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