A new geometric setting for classical field theories

M. de León, J. C. Marrero, and D. Martín de Diego. "A new geometric setting for classical field theories." Banach Center Publications 59.1 (2003): 189-209. <http://eudml.org/doc/281951>.

@article{M2003,
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.},
author = {M. de León, J. C. Marrero, D. Martín de Diego},
journal = {Banach Center Publications},
keywords = {singular field theory; constraint algorithm; constraint submanifold; well-defined dynamics; second-order condition},
language = {eng},
number = {1},
pages = {189-209},
title = {A new geometric setting for classical field theories},
url = {http://eudml.org/doc/281951},
volume = {59},
year = {2003},
}

TY - JOUR
AU - M. de León
AU - J. C. Marrero
AU - D. Martín de Diego
TI - A new geometric setting for classical field theories
JO - Banach Center Publications
PY - 2003
VL - 59
IS - 1
SP - 189
EP - 209
AB - 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.
LA - eng
KW - singular field theory; constraint algorithm; constraint submanifold; well-defined dynamics; second-order condition
UR - http://eudml.org/doc/281951
ER -