“Flat” is not the right word but we have no words in the English language that extends the concept to a three dimensional object. If you have a line you would call it straight. If you have a surface you would call it flat. But what would you call a similar three dimensional object? So people are just reusing the term “flat” for three dimensional objects as well, which pretty much only cover space itself. What this means is that even though there are some local bumps in the structure of space itself mainly caused by gravity on a larger scales there is no curves or bends.
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