symplectic vector field

If $(M,\omega )$ is a symplectic manifold, then a vector field $X\in 𝔛(M)$ is symplectic if its flow preserves the symplectic structure. That is, if the Lie derivative ${ℒ}_X\omega =0$.

Title	symplectic vector field
Canonical name	SymplecticVectorField
Date of creation	2013-03-22 13:14:04
Last modified on	2013-03-22 13:14:04
Owner	bwebste (988)
Last modified by	bwebste (988)
Numerical id	4
Author	bwebste (988)
Entry type	Definition
Classification	msc 53D05