Prove that every divergence free vector field on R^n, n>1 is of the form:(adsbygoogle = window.adsbygoogle || []).push({});

v(x)=SUM dAij/dxi *ej

where Aij(x) is smooth function from R^n to R such that Aij(x)=-Aji(x) i.e. matrix $[Aij(x)]$ is skew symmetric for every vector x.

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# Divergence free vector fields in R^n

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