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isotropic submanifold (Definition)

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$.



"isotropic submanifold" is owned by bwebste.
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See Also: Lagrangian submanifold
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Cross-references: tangent space, vanishes, symplectic form, submanifold, symplectic manifold
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This is version 1 of isotropic submanifold, born on 2002-12-06.
Object id is 3670, canonical name is IsotropicSubmanifold.
Accessed 1997 times total.

Classification:
AMS MSC: 53D05 (Differential geometry :: Symplectic geometry, contact geometry :: Symplectic manifolds, general)
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