isotropic submanifold

If $(M,\omega )$ is a symplectic manifold, then a submanifold $L\subset M$ is isotropic if the symplectic form vanishes on the tangent space of $L$, that is, $\omega (v_1,v_2)=0$ for all $v_1,v_2\in T_{\mathrm{\ell }}L$ for all $\mathrm{\ell }\in L$.

Title	isotropic submanifold
Canonical name	IsotropicSubmanifold
Date of creation	2013-03-22 13:12:26
Last modified on	2013-03-22 13:12:26
Owner	bwebste (988)
Last modified by	bwebste (988)
Numerical id	4
Author	bwebste (988)
Entry type	Definition
Classification	msc 53D05
Related topic	LagrangianSubmanifold