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Topic: Surface geodesics
Replies: 16   Last Post: Jan 23, 2014 7:01 AM

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€XPOSITO

Posts: 9
Registered: 1/19/14
Re: Surface geodesics
Posted: Jan 19, 2014 4:07 PM
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Thanks for your answer.

No, I don't mean planar cross-sections of the sphere, as these are not connected.


I'll try to rephrese myself:


Let M be a regular affine-connected surface for which the following holds:

"For every geodesic curve gamma in M, gamma is contained in a plane"

Can M be said not to be contained in a sphere or a plane?


TIA



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