4 citations · 6 across the 2 of their papers we have counts for
3 papers
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…
math.DG2018★ 2 cited
On a global Lagrangian construction for ordinary variational equations on 2-manifolds
Zbyněk Urban, Jana Volná
Locally variational systems of differential equations on smooth manifolds, having certain de Rham cohomology group trivial, automatically possess a global Lagrangian. This importan…
math.DG2017★ 4 cited
Variational submanifolds of Euclidean spaces
Demeter Krupka, Zbyněk Urban, Jana Volná
Systems of ordinary differential equations (or dynamical forms in Lagrangian mechanics), induced by embeddings of smooth fibered manifolds over one-dimensional basis, are considere…