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A new geometric setting for classical field theories

M. de LeónJ. C. MarreroD. Martín de Diego — 2003

Banach Center Publications

A new geometrical setting for classical field theories is introduced. This description is strongly inspired by the one due to Skinner and Rusk for singular lagrangian systems. For a singular field theory a constraint algorithm is developed that gives a final constraint submanifold where a well-defined dynamics exists. The main advantage of this algorithm is that the second order condition is automatically included.

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