Lagrangian submanifold

If $(M,\omega )$ is a symplectic $2n$-manifold (http://planetmath.org/SymplecticManifold), then a submanifold $L$ is called if it is isotropic, and of dimension $n$. This is the maximal dimension an isotropic submanifold can have, by the non-degeneracy of $\omega$.

Title	Lagrangian submanifold
Canonical name	LagrangianSubmanifold
Date of creation	2013-03-22 13:12:29
Last modified on	2013-03-22 13:12:29
Owner	mathcam (2727)
Last modified by	mathcam (2727)
Numerical id	6
Author	mathcam (2727)
Entry type	Definition
Classification	msc 53D05
Related topic	IsotropicSubmanifold