Talk:Fermi coordinates

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Curvature depends on the derivative of the Christoffel's. The statement

" For example, if all Christoffel symbols vanish near p, then the manifold is flat near p."

is wrong.

I don't think so. That the christoffel symbols vanish near p means that p has a neighborhood where the Christoffel symbols vanish. Then also the derivatives vanish, and hence curvature vanishes in this neighborhood. Haseldon (talk)