The Legendre-like operators on tuples of Lagrangians and functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F26%3A0199248" target="_blank" >RIV/00216305:26210/26:0199248 - isvavai.cz</a>
Result on the web
<a href="https://journals.umcs.pl/a/article/view/19840" target="_blank" >https://journals.umcs.pl/a/article/view/19840</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.17951/a.2025.79.1.1-12" target="_blank" >10.17951/a.2025.79.1.1-12</a>

Result language
angličtina
Original language name
The Legendre-like operators on tuples of Lagrangians and functions
Original language description
Let Y be a fibred manifold with an m-dimensional basis M. We describe all Legendre-like operators C, i.e. natural operators transforming tuples (λ, g) of Lagrangians λ: JsY →∧m T∗M and functions g: M → R (resp. g: Y → R) into Legendre maps C(λ, g): ∧ JsY → SsT M ⊗ V∗Y ⊗ m T∗M. The most important example of such operators is the Legendre operator (from the variational calculus) being the one in question depending only on Lagrangians.
Czech name
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Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10100 - Mathematics

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica
ISSN
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e-ISSN
2083-7402
Volume of the periodical
1
Issue of the periodical within the volume
79
Country of publishing house
PL - POLAND
Number of pages
12
Pages from-to
1-12
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-105012872552

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