On the Carathéodory form in higher-order variational field theory

Popis výsledku

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Jazyk výsledku
angličtina
Název v původním jazyce
On the Carathéodory form in higher-order variational field theory
Popis výsledku v původním jazyce
The Carathéodory form of the calculus of variations belongs to the class of Lepage equivalents of first-order Lagrangians in field theory. Here, this equivalent is generalized for second and higher-order Lagrangians by means of intrinsic geometric operations applied to the well-known Poincaré-Cartan form and principal component of Lepage forms, respectively. For second-order theory, our definition coincides with the previous result obtained by Crampin and Saunders in a different way. The Carathéodory equivalent of the Hilbert Lagrangian in general relativity is discussed.
Název v anglickém jazyce
On the Carathéodory form in higher-order variational field theory
Popis výsledku anglicky
The Carathéodory form of the calculus of variations belongs to the class of Lepage equivalents of first-order Lagrangians in field theory. Here, this equivalent is generalized for second and higher-order Lagrangians by means of intrinsic geometric operations applied to the well-known Poincaré-Cartan form and principal component of Lepage forms, respectively. For second-order theory, our definition coincides with the previous result obtained by Crampin and Saunders in a different way. The Carathéodory equivalent of the Hilbert Lagrangian in general relativity is discussed.

Rok uplatnění
2021
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Druh výsledku

J_imp - Článek v periodiku v databázi Web of Science

J_imp

OECD FORD

Mathematics

Rok uplatnění

2021