Global Aspects of Finsler Geometry (2008)
Tadashi Aikou, László Kozma, Demeter Krupka, David Saunders, Kozma László (1960-) (matematikus)
On the higher order Hamilton theory in fibered spaces (2002)
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 manifolds.
On the structure of the Euler mapping (2002)
The goal of this paper is to give acomplete description of the Lagrange functions L satisfying $\cal E (L)=0$. In other words we shall study the kernel of the linear mapping $\cal L (J^1) \ni L \to...
On the local structure of the Euler-Lagrange mapping of the calculus of variations (2002)
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 manifolds,namely a...
Some geometric aspects of variational problems in fibred manifolds (2001)
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 functionals defined by real...
On the local structure of the Euler-Lagrange mapping of the calculus of variations (2000)
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 manifolds, namely a description of its...
Variational Sequences And Variational Bicomplexes (1999)
. We compare basic features of the variational sequence, and the variational bicomplex theories on a fibered manifold. We show that these two theories, based on different underlying geometric...
7th International Conference on Differential Geometry and Applications (1999)
Kolár, Ivan, Kowalski, Oldrich, Krupka, Demeter, Slovák, Jan
Invariants of Velocities, and Higher Order Grassmann Bundles (1997)
Grigore, Dan Radu, Krupka, Demeter
An $(r,n)$-velocity is an $r$-jet with source at $0 \in \R^n$, and target in a manifold $Y$. An $(r,n)$-velocity is said to be regular, if it has a representative which is an immersion at $0 \in...
The Trace Decomposition Problem (1996)
. The problem of decomposition of mixed tensor spaces by the trace operation is considered. It is shown that a tensor A = i A i 1 i 2 :::i p k1 k2 :::k q j can always be expressed as the sum of a...
The Trace Decomposition Problem (1996)
. The problem of decomposition of mixed tensor spaces by the trace operation is considered. It is shown that a tensor A = i A i 1 i 2 :::i p k1 k2 :::k q j can always be expressed as the sum of a...
The Trace Decomposition Problem (1996)
. The problem of decomposition of mixed tensor spaces by the trace operation is considered. It is shown that a tensor A = i A i 1 i 2 :::i p k1 k2 :::k q j can always be expressed as the sum of a...