3 papers
gr-qc2020
The Noether Bessel Hagen Symmetry Approach for Dynamical Systems
Zbynek Urban, Francesco Bajardi, Salvatore Capozziello
The Noether-Bessel-Hagen theorem can be considered a natural extension of Noether Theorem to search for symmetries. Here, we develop the approach for dynamical systems introducing…
math.DG2019
Exactness of Lepage 2-forms and globally variational differential equations
Zbynek Urban, Jana Volna
The exactness equation for Lepage 2-forms, associated with variational systems of ordinary differential equations on smooth manifolds, is analyzed with the aim to construct a concr…
math.DG2018
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…