Timeline for Pythagorean theorem in Riemann metrics of non constant curvature
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
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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 |
added 4 characters in body
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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 |