Moser’s theorem

Let ${\omega }_0$ and ${\omega }_1$ be symplectic structures on a compact manifold $M$. If there is a path in the space of symplectic structures of a fixed DeRham cohomology class connecting ${\omega }_0$ and ${\omega }_1$ (in particular ${\omega }_0$ and ${\omega }_1$ must have the same class), then $(M,{\omega }_0)$ and $(M,{\omega }_1)$ are symplectomorphic, by a symplectomorphism isotopic to the identity.

Title	Moser’s theorem
Canonical name	MosersTheorem
Date of creation	2013-03-22 13:18:08
Last modified on	2013-03-22 13:18:08
Owner	bwebste (988)
Last modified by	bwebste (988)
Numerical id	6
Author	bwebste (988)
Entry type	Theorem
Classification	msc 53D05