this post was submitted on 08 Jan 2024
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Physics

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[–] [email protected] 8 points 10 months ago (1 children)

Curvature is well defined for manifolds with any number of dimensions. "Flat" in this context means "zero curvature", not "two dimensional".

[–] CM400 2 points 10 months ago (2 children)

Can I get an ELI5, please? I understand all of those words, but not the concepts behind them in this context…

[–] [email protected] 2 points 10 months ago

The definition of a right angle depends on the number of dimensions. Perpendicularity and parallelism are different in higher dimensions. Space is hard.