Phase space geometry for constrained Lagrangian systems

Physics – Mathematical Physics

Scientific paper

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27 pages

Scientific paper

We study geometry of the phase space for finite-dimensional dynamical systems
with degenerate Lagrangians. The Lagrangian and Hamiltonian constraint
formalisms are treated as different local-coordinate pictures of the same
invariant procedure. The invariant description is given in terms of geometrical
objects associated with the structure of foliation on the phase space.

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