A new geometric setting for classical field theories
Volume 59 / 2003
Banach Center Publications 59 (2003), 189-209
MSC: Primary 70S05; Secondary 58A20.
DOI: 10.4064/bc59-0-10
Abstract
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.
