2 papers
math.DG2022
The fundamental Lepage form in two independent variables: a generalization using order-reducibility
Zbyněk Urban, Jana Volná
A second-order generalization of the fundamental Lepage form of geometric calculus of variations over fibered manifolds with 2-dimensional base is described by means of insisting o…
math.DG2021
On the Carathéodory form in higher-order variational field theory
Zbyněk Urban, Jana Volná
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…