Moser’s theorem

Let ω0 and ω1 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 ω0 and ω1 (in particular ω0 and ω1 must have the same class), then (M,ω0) and (M,ω1) 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