JANYŠKA, Josef, Ivan KOLÁŘ a Antonela CABRAS. On the geometry of variational calculus on some functional bundles. Note di Matematica. Itálie: Univerzita Lecce, 2006, roč. 2006, č. 1, s. 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 a Antonela CABRAS. On the geometry of variational calculus on some functional bundles. \textit{Note di Matematica}. Itálie: Univerzita Lecce, 2006, roč.~2006, č.~1, s.~51-66. ISSN~1123-2536.
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