On the geometry of variational calculus on some functional bundles
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F06%3A00015846" target="_blank" >RIV/00216224:14310/06:00015846 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On the geometry of variational calculus on some functional bundles
Original language description
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.
Czech name
O geometrii variačního počtu na některých funkčních bandlech
Czech description
Nejdříve zobecňujeme operaci formálního vnějšího derivování na nekonečnědimenzionální fibrované variety a potom rozšiřujeme tuto operaci na bandl hladkých funkcí. Je popsán vztah s Euler-Lagrangeovým morfismem variačního počtu.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F02%2F0225" target="_blank" >GA201/02/0225: Prolongation of geometric structures</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2006
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Note di Matematica
ISSN
1123-2536
e-ISSN
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Volume of the periodical
2006
Issue of the periodical within the volume
1
Country of publishing house
PL - POLAND
Number of pages
16
Pages from-to
51-66
UT code for WoS article
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EID of the result in the Scopus database
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