Timeline for A closed $(1,1)$-form $\eta$ is harmonic if and only if $\Lambda\eta = \text{constant}$
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| May 5 at 10:36 | vote | accept | Nikolai | ||
| May 4 at 14:38 | history | edited | LSpice | CC BY-SA 4.0 |
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| May 4 at 13:04 | comment | added | Nikolai | You're right, that's a bit problematic. Using the parallelity of $\omega$ as Jeffrey mentioned, would not need these assumptions on compactness and connectedness? @DavidESpeyer | |
| May 4 at 12:51 | comment | added | David E Speyer | Your argument for $\Delta \eta = 0$ implies $\Lambda \eta$ constant seems to assume that $X$ is compact and connected? If $X$ is not compact, then $\Delta(\phi)=0$ doesn't imply $\phi$ locally constant (EG $X = \mathbb{C}$ and $\phi$ any holomorphic function) and, of course, if $X$ is disconnected, than locally constant doesn't imply constant. | |
| May 4 at 11:37 | answer | added | Jeffrey Case | timeline score: 6 | |
| May 4 at 8:59 | history | edited | Nikolai | CC BY-SA 4.0 |
added 245 characters in body
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| May 4 at 8:49 | history | asked | Nikolai | CC BY-SA 4.0 |