Add to ORKGBy developing a work of Geoffrey Martin, we study a class of multi-symplectic struc-tures, called symplectic structures of order k, in analogy with the well-known classical symplectic geometry. Also, we introduce the Liouville form of degree k and the notion of Hamiltonian systems and Hamiltonian p − system on a manifold equipped with a sym-plectic structure of order k
(1) Symplectic forms and presymplectic forms (2) Normal form theorem (3) Weak and strong infinite-di...
A Hamiltonian structure is presented, which generalizes classical Hamiltonian structure, by assignin...
The aim of this paper is to construct multi-symplectic structures starting with the geometry of an o...
This lecture is devoted to review some of the main properties of multisymplectic geometry. In partic...
This lecture is devoted to review some of the main properties of multisymplectic geometry. In partic...
We study some properties of the k-symplectic Hamiltonian systems in analogy with the well-known clas...
Manifolds and maps are assumed to be smooth (i.e., of class C∞). More-over, manifolds are assumed to...
Multisymplecticity and the variational bicomplex are two subjects which have developed independently...
1.1. Introduction. Symplectic structures made their rst appearance in the study of classical mechani...
Multisymplecticity and the variational bicomplex are two subjects which have devel-oped independentl...
We consider Hamiltonian systems in first-order multisymplectic field theories. First we review the c...
After reviewing one of the basic motivation that led to the generalized symplectic structure, namely...
La notion d’algèbre de Lie symplectiques d’ordre k repose sur l’existence sur l’espace des k-formes...
We consider Hamiltonian systems in first-order multisymplectic field theories. First we review the c...
AbstractThe general purpose of this paper is to attempt to clarify the geometrical foundations of fi...
(1) Symplectic forms and presymplectic forms (2) Normal form theorem (3) Weak and strong infinite-di...
A Hamiltonian structure is presented, which generalizes classical Hamiltonian structure, by assignin...
The aim of this paper is to construct multi-symplectic structures starting with the geometry of an o...
This lecture is devoted to review some of the main properties of multisymplectic geometry. In partic...
This lecture is devoted to review some of the main properties of multisymplectic geometry. In partic...
We study some properties of the k-symplectic Hamiltonian systems in analogy with the well-known clas...
Manifolds and maps are assumed to be smooth (i.e., of class C∞). More-over, manifolds are assumed to...
Multisymplecticity and the variational bicomplex are two subjects which have developed independently...
1.1. Introduction. Symplectic structures made their rst appearance in the study of classical mechani...
Multisymplecticity and the variational bicomplex are two subjects which have devel-oped independentl...
We consider Hamiltonian systems in first-order multisymplectic field theories. First we review the c...
After reviewing one of the basic motivation that led to the generalized symplectic structure, namely...
La notion d’algèbre de Lie symplectiques d’ordre k repose sur l’existence sur l’espace des k-formes...
We consider Hamiltonian systems in first-order multisymplectic field theories. First we review the c...
AbstractThe general purpose of this paper is to attempt to clarify the geometrical foundations of fi...
(1) Symplectic forms and presymplectic forms (2) Normal form theorem (3) Weak and strong infinite-di...
A Hamiltonian structure is presented, which generalizes classical Hamiltonian structure, by assignin...
The aim of this paper is to construct multi-symplectic structures starting with the geometry of an o...