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| In this talk, I will present a definition of the exact discrete Lagrangian function associated with a continuous
regular Lagrangian function on the Lie algebroid of a Lie groupoid. For this purpose, I will use some results
on second order differential equations on the vertical bundle of a fibration. These results may be proved using
classical theorems on second order differential equations.
It is a work in collaboration with D Mart{\'\i}n de Diego and E Mart{\'\i}nez. |
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