Timeline for The effect of the Hodge $\star$ operator on the symplectic structure of a Kahler $4$ manifold
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Sep 18, 2019 at 7:22 | comment | added | abx | I would guess it is the same — the equality is checked at each point, the fact that $\omega$ is closed plays no role. | |
| Sep 17, 2019 at 18:24 | comment | added | Ali Taghavi | @abx Thanks for this reference. So what about the same question without Kahlerian assumption? | |
| Sep 17, 2019 at 17:54 | comment | added | abx | Yes. You can see that (for instance) in Weil's "Variétés kählériennes". | |
| Sep 17, 2019 at 16:42 | comment | added | Ali Taghavi | @abx Thank you! I am aware of Darbeux charts for symplectic manifolds. But is there a Kahler chart for Kahlerian manifolds? That is a chart which preserves all 3 structures in their standard Euclidean forms. | |
| Sep 17, 2019 at 16:20 | review | Close votes | |||
| Oct 18, 2019 at 3:05 | |||||
| Sep 17, 2019 at 15:55 | comment | added | abx | Yes, because $\omega '=\omega $. | |
| Sep 17, 2019 at 15:13 | history | edited | Ali Taghavi | CC BY-SA 4.0 |
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| Sep 17, 2019 at 14:51 | history | asked | Ali Taghavi | CC BY-SA 4.0 |