2016
On Lepagean equivalents and multisymplectic forms
SMETANOVÁ, DanaBasic information
Original name
On Lepagean equivalents and multisymplectic forms
Name in Czech
O Lepageových ekvivalentech a multisymplectických formách
Authors
SMETANOVÁ, Dana (203 Czech Republic, guarantor, belonging to the institution)
Edition
Bratislava, APLIMAT 2016 : 15th Conference on Applied Mathematics, p. 1004-1009, 6 pp. 2016
Publisher
Slovak University of Technology in Bratislava
Other information
Language
English
Type of outcome
Proceedings paper
Field of Study
10101 Pure mathematics
Country of publisher
Slovakia
Confidentiality degree
is not subject to a state or trade secret
Publication form
printed version "print"
RIV identification code
RIV/75081431:_____/16:00000660
Organization unit
Institute of Technology and Business in České Budějovice
ISBN
978-80-227-4531-4
Keywords (in Czech)
Lagrangián; Lepageova forma; multisymplektická forma; Poincarého-Cartanova forma
Keywords in English
Lagrangian; Lepagean form; multisymplectic form; Poincaré-Cartan form
Changed: 1/6/2016 13:41, Hana Dlouhá
In the original language
The paper is devoted to the case of the Lepagean and the multisymplectic forms whose~coming from the first order Lagrangian. Contrary to standard aproach we find new class of~multisymplectic forms which depend not only on given Lagrangian but on ``free'' functions. This problem is usefull in variational theories and physical problems.
In Czech
Příspěvek je věnován Lepageovým ekvivalentům a multisymplektickým formám, které pocházení z Lagrangiánů 1. řádu. Oproti standardnímu přístupu najdeme novou třídu multisymplektických forem, která nezávisí pouze na Lagrangiánu, ale i na "volných" funkcích. Tento přístup se dá využít ve variačních teoriích a fyzikálních problémech.