Darboux theorem (symplectic geometry)
= Darboux theorem
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The Darboux theorem says that every point of a $2n$-dimensional <symplectic manifold> has local coordinates in which the <symplectic form> is $\sum_jdx_j\wedge dy_j$. Thus symplectic manifolds have no local invariants beyond dimension.
= Symplectic Darboux theorem
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{synonym}