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Use this for questions pertaining to curvature of manifolds. Does not need to be specific to general relativity, but also for curvature of e.g. a Calabi-Yau manifold.

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Shape of the universe [duplicate]

I have read through some related stackexchange posts but I'm still not quite sure I grasp the full meaning of that statement. 1) Isn't it possible for curvature to vary from point to point? … (Curvature is a local quantity, right?) So is the statement "universe is nearly flat" applicable to every single point, or is it some sort of 'global average'? …
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