20 citations · 31 across the 5 of their papers we have counts for
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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…
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…
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…
The fundamental Lepage form in variational theory for submanifolds
Zbyněk Urban, Ján Brajerčík
A setting for global variational geometry on Grassmann fibrations is presented. The integral variational functionals for finite dimensional immersed submanifolds are studied by mea…