# 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 |