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Lagrangian submanifold (Definition)

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



"Lagrangian submanifold" is owned by mathcam. [ full author list (2) | owner history (1) ]
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See Also: isotropic submanifold


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examples of Lagrangian submanifolds (Example) by matte
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Cross-references: isotropic submanifold, dimension, submanifold
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This is version 3 of Lagrangian submanifold, born on 2002-12-06, modified 2006-10-25.
Object id is 3671, canonical name is LagrangianSubmanifold.
Accessed 2505 times total.

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