Exactness of Lepage 2 -forms and globally variational differential equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27120%2F19%3A10242516" target="_blank" >RIV/61989100:27120/19:10242516 - isvavai.cz</a>
Result on the web
<a href="https://www.worldscientific.com/doi/10.1142/S0219887819501068" target="_blank" >https://www.worldscientific.com/doi/10.1142/S0219887819501068</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0219887819501068" target="_blank" >10.1142/S0219887819501068</a>

Result language
angličtina
Original language name
Exactness of Lepage 2 -forms and globally variational differential equations
Original language description
The exactness equation for Lepage 2-forms, associated with variational systems of ordinary differential equations on smooth manifolds, is analyzed with the aim to construct a concrete global variational principle. It is shown that locally variational systems defined by homogeneous functions of degree $c neq 0, 1$ are automatically globally variational. A new constructive method of finding a global Lagrangian is described for these systems, which include for instance the geodesic equations in Riemann and Finsler geometry.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
International Journal of Geometric Methods in Modern Physics
ISSN
0219-8878
e-ISSN
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Volume of the periodical
16
Issue of the periodical within the volume
Supplement 2
Country of publishing house
SG - SINGAPORE
Number of pages
15
Pages from-to
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UT code for WoS article
000500955000009
EID of the result in the Scopus database
2-s2.0-85066434642

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