| JANYŠKA, Josef, Ivan KOLÁŘ and Antonela CABRAS. On the geometry of variational calculus on some functional bundles. Note di Matematica. Itálie: Univerzita Lecce, 2006, vol. 2006, No 1, p. 51-66. ISSN 1123-2536. |
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@article{695787,
author = {Janyška, Josef and Kolář, Ivan and Cabras, Antonela},
article_location = {Itálie},
article_number = {1},
keywords = {functional bundle; prolongational functor; Euler-Lagrange morphism},
language = {eng},
issn = {1123-2536},
journal = {Note di Matematica},
title = {On the geometry of variational calculus on some functional bundles},
volume = {2006},
year = {2006}
}
TY - JOUR
ID - 695787
AU - Janyška, Josef - Kolář, Ivan - Cabras, Antonela
PY - 2006
TI - On the geometry of variational calculus on some functional bundles
JF - Note di Matematica
VL - 2006
IS - 1
SP - 51-66
EP - 51-66
PB - Univerzita Lecce
SN - 11232536
KW - functional bundle
KW - prolongational functor
KW - Euler-Lagrange morphism
N2 - We first generalize the operation of formal exterior differential in the case of finite dimensional fibered manifolds and then we extend it to certain bundles of smooth maps. In order to characterize the operator order of some morphisms between our bundles of smooth maps, we introduce the concept of fiberwise $(k,r)$-jet. The relations to the Euler-Lagrange morphism of the variational calculus are described.
ER -
JANYŠKA, Josef, Ivan KOLÁŘ and Antonela CABRAS. On the geometry of variational calculus on some functional bundles. \textit{Note di Matematica}. Itálie: Univerzita Lecce, 2006, vol.~2006, No~1, p.~51-66. ISSN~1123-2536.
|
