Timeline for Symplectic reduction: from indefinite signature to Riemannian signature
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Mar 20, 2015 at 20:53 | history | edited | Vladimir S Matveev | CC BY-SA 3.0 |
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| Mar 20, 2015 at 11:15 | vote | accept | Bilateral | ||
| Mar 20, 2015 at 10:06 | comment | added | Vladimir S Matveev | It depends of course what you understand by compatible. It is parallel, and the corresponding endomorphism is a complex structure, though not the standard one. Alternatively, you make take another symplectic form $-dx_1\wedge dy_1+ dx_2\wedge dx_2$; it corresponds to the standard complex structure | |
| Mar 19, 2015 at 22:38 | comment | added | Bilateral | thanks for the example. Do you know of any pseudo-Kahler example? If I am not mistaken, in your example the symplectic form that you use is compatible with the Riemannian metric, not the (2,2) metric. | |
| Mar 19, 2015 at 22:15 | history | answered | Vladimir S Matveev | CC BY-SA 3.0 |