On a bicomplex induced by the variational sequence

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F15%3A50003468" target="_blank" >RIV/62690094:18470/15:50003468 - isvavai.cz</a>
Nalezeny alternativní kódy
RIV/61989100:27600/15:86096113 RIV/47813059:19610/15:N0000011
Výsledek na webu
<a href="http://www.worldscientific.com/doi/10.1142/S0219887815500577" target="_blank" >http://www.worldscientific.com/doi/10.1142/S0219887815500577</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0219887815500577" target="_blank" >10.1142/S0219887815500577</a>

Jazyk výsledku
angličtina
Název v původním jazyce
On a bicomplex induced by the variational sequence
Popis výsledku v původním jazyce
The construction of a finite-order bicomplex whose morphisms are the horizontal and vertical derivatives of differential forms on finite-order jet prolongations of fibered manifolds over one-dimensional bases is presented. In particular, relationship between the morphisms and classes entering the variational sequence and the associated finite-order bicomplex is studied. Properties of classes entering the infinite-order bicomplex, induced from the finite-order variational sequences by means of an infinite canonical construction, are formulated as a remark, insisting further research.
Název v anglickém jazyce
On a bicomplex induced by the variational sequence
Popis výsledku anglicky
The construction of a finite-order bicomplex whose morphisms are the horizontal and vertical derivatives of differential forms on finite-order jet prolongations of fibered manifolds over one-dimensional bases is presented. In particular, relationship between the morphisms and classes entering the variational sequence and the associated finite-order bicomplex is studied. Properties of classes entering the infinite-order bicomplex, induced from the finite-order variational sequences by means of an infinite canonical construction, are formulated as a remark, insisting further research.

Druh
J<sub>x</sub> - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CEP obor
BA - Obecná matematika
OECD FORD obor
—

Projekt
<a href="/cs/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku</a><br>
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2015
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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