4 papers
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…
On the structure of the Euler mapping
Demeter Krupka
The goal of this paper is to give acomplete description of the Lagrange functions L satisfying . In other words we shall study the kernel of the linear mapping $\cal…
Some geometric aspects of variational problems in fibred manifolds
Demeter Krupka
This work contains an exposition of foundations of the variational calculus in fibered manifolds. The emphasis is laid on the geometric aspects of the theory. Especially functional…