# 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 $v_{1},v_{2}\in T_{\ell}L$ for all $\ell\in L$.

Title isotropic submanifold IsotropicSubmanifold 2013-03-22 13:12:26 2013-03-22 13:12:26 bwebste (988) bwebste (988) 4 bwebste (988) Definition msc 53D05 LagrangianSubmanifold