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Hamiltonian systems, symplectic flows, classical integrable systems

1 vote
Accepted

Hodge decomposition of a symplectic form.

Using the additional information that the OP provided in the comments to Yael Fregier's answer, I can elaborate as follows: I still don't know what "special complex manifold" means, but in any case, …
Spiro Karigiannis's user avatar
4 votes
Accepted

How else can we describe the volume of a lagrangian submanifold in a Kahler manifold?

This is probably closer in spirit to what you're looking for than what you've received in the comments. If $(V^{2m}, J, \omega, g)$ is Calabi-Yau (which for me means that $J$ is integrable, and the fi …
Spiro Karigiannis's user avatar