symplectic vector field

If (M,ω) is a symplectic manifoldMathworldPlanetmath, then a vector field X𝔛(M) is symplectic if its flow preserves the symplectic structure. That is, if the Lie derivativeMathworldPlanetmathPlanetmath Xω=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