Timeline for Can we prescribe the $L^2$ norm of the scalar curvature on a four-manifold?
Current License: CC BY-SA 4.0
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May 17, 2022 at 19:15 | history | edited | Michael Albanese | CC BY-SA 4.0 |
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May 17, 2022 at 12:28 | vote | accept | DLIN | ||
May 17, 2022 at 11:48 | history | edited | Michael Albanese | CC BY-SA 4.0 |
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May 17, 2022 at 11:42 | answer | added | Michael Albanese | timeline score: 11 | |
May 17, 2022 at 9:56 | history | edited | DLIN | CC BY-SA 4.0 |
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May 17, 2022 at 9:22 | history | edited | DLIN | CC BY-SA 4.0 |
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May 17, 2022 at 5:25 | history | edited | DLIN | CC BY-SA 4.0 |
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May 17, 2022 at 4:35 | history | edited | DLIN | CC BY-SA 4.0 |
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May 17, 2022 at 4:23 | comment | added | Willie Wong | scalar curvature scales like metric inverse. Volume form scales like metric to the power $n/2$. So if $n/2 - 2 \neq 0$ and if your manifold admits any non-flat metric, then you can get what you want by rescaling. | |
May 17, 2022 at 3:45 | history | asked | DLIN | CC BY-SA 4.0 |