Timeline for A problem of the volume form of Kähler manifold in the paper of Yau's proof of Calabi conjecture
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| May 16, 2022 at 12:16 | vote | accept | Elio Li | ||
| Apr 4, 2022 at 9:45 | answer | added | Ben McKay | timeline score: 3 | |
| Mar 30, 2022 at 10:22 | comment | added | Ben McKay | yes, that's right. | |
| Mar 30, 2022 at 10:15 | comment | added | Elio Li | Thanks for answering, I just started learning Kahler geometry while reading this paper. You mean that $\Omega+d \bar{\partial} \varphi$ = $\Omega+\partial \bar{\partial} \varphi$ then integraing $\Omega+\partial \bar{\partial} \varphi$ equals to integrating $\Omega$(Since $M$ has no boundary and Stokes), then similarly expand out $(\Omega+\partial \bar{\partial} \varphi)^{m}$ and integrate by parts? | |
| Mar 29, 2022 at 19:21 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Added some detail to reference paper
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| Mar 29, 2022 at 18:28 | comment | added | Ben McKay | I think you expand out and integrate by parts to show that the integral is the same as for $\Omega$. In fact, the homology class of $\Omega+d\bar\partial \varphi$ is clearly that of $\Omega$. | |
| Mar 29, 2022 at 15:38 | history | asked | Elio Li | CC BY-SA 4.0 |