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May 23, 2023 at 11:44 vote accept user967210
May 22, 2023 at 3:50 comment added Deane Yang I don't have a proof, but my belief is that whether the Pythagorean Theorem holds is equivalent to whether there is any nontrivial holonomy when a tangent vector is parallel translated around a closed curve. If so, this would prove that the Pythagorean holds if and only if the metric is flat.
May 21, 2023 at 7:37 history edited user967210 CC BY-SA 4.0
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May 21, 2023 at 1:08 answer added Saúl RM timeline score: 5
May 21, 2023 at 0:07 history asked user967210 CC BY-SA 4.0