PlanetMath (more info)
 Math for the people, by the people.
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
sections
Encyclopædia
Papers
Books
Expositions

meta
Requests (198)
Orphanage
Unclass'd
Unproven (490)
Corrections (7)
Classification

talkback
Polls
Forums
Feedback
Bug Reports

downloads
Snapshots
PM Book

information
News
Docs
Wiki
ChangeLog
TODO List
Legalese
About
Owner confidence rating: Medium Entry average rating: No information on entry rating
Moser's theorem (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.



"Moser's theorem" is owned by bwebste. [ full author list (2) ]
(view preamble)

View style:

Log in to rate this entry.
(view current ratings)

Cross-references: identity, isotopic, symplectomorphism, class, cohomology, fixed, path, manifold, compact, structures
There is 1 reference to this entry.

This is version 3 of Moser's theorem, born on 2002-12-21, modified 2008-06-09.
Object id is 3806, canonical name is MosersTheorem.
Accessed 1821 times total.

Classification:
AMS MSC: 53D05 (Differential geometry :: Symplectic geometry, contact geometry :: Symplectic manifolds, general)
Pending Errata and Addenda
None.
[ View all 2 ]
Discussion
Style: Expand: Order:
forum policy

No messages.

Interact
post | correct | update request | prove | add result | add corollary | add example | add (any)