A variational principle for volume-preserving dynamics

Details A variational principle for volume-preserving dynamics A variational principle for volume-preserving dynamics

2003-05-14

arxiv.org/abs/math-ph/0305031v1

J. Nonlin. Math. Phys. 10 (2003), 539-554

Physics

Mathematical Physics

Scientific paper

We provide a variational description of any Liouville (i.e. volume
preserving) autonomous vector fields on a smooth manifold. This is obtained via
a ``maximal degree'' variational principle; critical sections for this are
integral manifolds for the Liouville vector field. We work in coordinates and
provide explicit formulae.

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