67 citations · 124 across the 9 of their papers we have counts for
9 papers
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…
Canonical variational completion of differential equations
Nicoleta Voicu, Demeter Krupka
Given a non-variational system of differential equations, the simplest way of turning it into a variational one is by adding a correction term. In the paper, we propose a way of ob…
On the structure of Finsler and areal spaces
Erico Tanaka, Demeter Krupka
We study underlying geometric structures for integral variational functionals, depending on submanifolds of a given manifold. Applications include (first order) variational functio…
On Metrizability of Invariant Affine Connections
Erico Tanaka, Demeter Krupka
The metrizability problem for a symmetric affine connection on a manifold, invariant with respect to a group of diffeomorphisms G, is considered. We say that the connection is G-me…
On the higher order Hamilton theory in fibered spaces
Demeter Krupka
In this paper we will be considering a basic geometric problem, the extension problem of classical Hamilton-Cartan variational theory to higher jet prolongations on fibered manifol…
On the local structure of the Euler-Lagrange mapping of the calculus of variations
Demeter Krupka
The purpose of this paper is to announce some new results on the structure of the higher order Euler-Lagrange mapping of the multiple-integral variational calculus on fibered manif…