Totally singular Lagrangians and affine Hamiltonians

  title={Totally singular Lagrangians and affine Hamiltonians},
  author={Marcela Popescu},
A Lagrangian or an affine Hamiltonian is called totally singular if it is defined by affine functions in highest velocities or momenta respectively. A natural duality relation between these Lagrangians and affine Hamiltonians is considered. The energy of a second order affine Hamiltonian is related with a dual corresponding Lagrangian of order one. Relations between the curves that are solutions of Euler and Hamilton equations of dual objects are also studied using semi-sprays. In order to… CONTINUE READING

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