Variational principles for involutive systems of vector fields

Details Variational principles for involutive systems of vector fields Variational principles for involutive systems of vector fields

2004-06-18

arxiv.org/abs/math-ph/0406039v1

Int. J. Geom. Meth. Mod. Phys. 1 (2004), 201-232

Physics

Mathematical Physics

31 pages. To appear in International Journal of Geometric Methods in Modern Physics (IJGMMP)

Scientific paper

In many relevant cases -- e.g., in hamiltonian dynamics -- a given vector
field can be characterized by means of a variational principle based on a
one-form. We discuss how a vector field on a manifold can also be characterized
in a similar way by means of an higher order variational principle, and how
this extends to involutive systems of vector fields.

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