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Realizing closed manifolds as Legendrian submanifolds of the standard contact vector space

The obstruction here is in admitting a formal Legendrian embedding, i.e., there must be an embedding $f : N \to \Bbb R^{2n+1}$ which is covered by a 1-parameter family $F_t : TN \to T\Bbb R^{2n+1}$ of ...
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Realizing closed manifolds as Legendrian submanifolds of the standard contact vector space

There are obstructions: For example, if $N^n\subset\mathbb{R}^{2n+1}$ is a Legendrian submanifold, then $\nu$, the normal bundle of $N^n$, is isomorphic to $\tau\oplus TN$, where $\tau$ is the ...

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