A new geometric setting for classical field theories

M. de León; J. C. Marrero; D. Martín de Diego

Banach Center Publications (2003)

  • Volume: 59, Issue: 1, page 189-209
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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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 -

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