The Poincaré-Cartan forms of one-dimensional variational integrals

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F20%3APU138334" target="_blank" >RIV/00216305:26110/20:PU138334 - isvavai.cz</a>

Result on the web

<a href="https://www.x-mol.com/paper/1339684794756751360" target="_blank" >https://www.x-mol.com/paper/1339684794756751360</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/ms-2017-0439" target="_blank" >10.1515/ms-2017-0439</a>

Result language

angličtina

Original language name

The Poincaré-Cartan forms of one-dimensional variational integrals

Original language description

Fundamental concepts for variational integrals evaluated on the solutions of a system of ordinary differential equations are revised. The variations, stationarity, extremals and especially the Poincare-Cartan differential forms are relieved of all additional structures and subject to the equivalences and symmetries in the widest possible sense. Theory of the classical Lagrange variational problem eventually appears in full generality. It is presented from the differential forms point of view and does not require any intricate geometry. (C) 2020 Mathematical Institute Slovak Academy of Sciences

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2020

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematica Slovaca

ISSN

0139-9918

e-ISSN

1337-2211

Volume of the periodical

70

Issue of the periodical within the volume

6

Country of publishing house

SK - SLOVAKIA

Number of pages

32

Pages from-to

1381-1412

UT code for WoS article

000599965000010

EID of the result in the Scopus database

2-s2.0-85098145849