Timeline for Symplectic structure vanishing simultaneously on two totally real subspaces
Current License: CC BY-SA 4.0
6 events
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| Nov 15, 2019 at 17:35 | comment | added | Dmitri Panov | Klaus, hope this helps you a bit. Do you know anything on how these two sub-manifolds intersect, for example if they are transverse to each other? Because your example shows that sometimes you can not do what you want. Or your desire is to have this condition as explicit as possible? | |
| Nov 14, 2019 at 22:58 | history | bounty ended | Klaus Niederkrüger | ||
| Nov 14, 2019 at 22:08 | comment | added | Klaus Niederkrüger | The solution you give in $\mathbb{C}^2$ is ingenious. Very nice. I need to think about higher dimensions. The problem I have is that I have two totally real submanifolds in an almost complex manifold, and I need locally taming symplectic structures for which both submanifolds are Lagrangian. I guess I'll have to understand the genericity condition of the corresponding tangent planes as a sort of $\det \ne0$ that can be verified explicitly (instead of relying on genericity which would require perturbing the totally real submanifolds). I'll think about it. Thanks again, Dmitri. | |
| Nov 14, 2019 at 21:53 | vote | accept | Klaus Niederkrüger | ||
| Nov 12, 2019 at 23:08 | history | edited | Dmitri Panov | CC BY-SA 4.0 |
added 1208 characters in body
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| Nov 12, 2019 at 15:02 | history | answered | Dmitri Panov | CC BY-SA 4.0 |