Timeline for Can a real (1,1) form $\phi$ be represented by $u\sqrt{-1}\partial\bar{\partial}u$ on a Kähler manifold?
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Jul 21, 2020 at 3:43 | vote | accept | liding | ||
| S Jul 18, 2020 at 21:47 | history | edited | Dmitri Pavlov | CC BY-SA 4.0 |
added 1 character in body; edited title
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| Jul 18, 2020 at 21:25 | review | Suggested edits | |||
| S Jul 18, 2020 at 21:47 | |||||
| Jul 18, 2020 at 20:22 | answer | added | Robert Bryant | timeline score: 5 | |
| Apr 1, 2020 at 20:54 | answer | added | YangMills | timeline score: 2 | |
| Mar 20, 2020 at 0:45 | comment | added | liding | Yes ,it's right. | |
| Mar 19, 2020 at 18:13 | comment | added | user48958 | So the question is "characterize those real $(1,1)$ forms that can be written as $ui\partial\bar\partial u$, where $u$ is a smooth function", right? | |
| Mar 18, 2020 at 21:45 | comment | added | liding | I mean that for giving $\phi$, is there $u$ such that $\phi=u\sqrt{-1}\partial\bar{\partial}u$ | |
| Mar 18, 2020 at 18:42 | comment | added | user48958 | Sure. Take $u$ a real ${\mathcal C}^{\infty}$ function on your manifold, and then $\phi=ui\partial\bar\partial u$ is a real $(1,1)$ form on $M$. | |
| Mar 18, 2020 at 1:25 | history | asked | liding | CC BY-SA 4.0 |