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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 2548 times total.

Classification:
AMS MSC53D05 (Differential geometry :: Symplectic geometry, contact geometry :: Symplectic manifolds, general)

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