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Phase space geometry for constrained Lagrangian systems

Mathematical Physics 2007-05-23 v1 High Energy Physics - Theory Dynamical Systems math.MP

Abstract

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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Cite

@article{arxiv.math-ph/9806016,
  title  = {Phase space geometry for constrained Lagrangian systems},
  author = {Vladimir Pavlov and Andrei Starinets},
  journal= {arXiv preprint arXiv:math-ph/9806016},
  year   = {2007}
}

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27 pages