Structures de contact, extension du calcul des jets (1ère partie)
Structures de contact, extension du calcul des jets (2ème partie)
Structures de Jacobi sur une variété des points proches
Sufficiency of Jets via Stratification Theory.
Sur un espace complet de champs tayloriens réguliers
Symmetries in finite order variational sequences
We refer to Krupka’s variational sequence, i.e. the quotient of the de Rham sequence on a finite order jet space with respect to a ‘variationally trivial’ subsequence. Among the morphisms of the variational sequence there are the Euler-Lagrange operator and the Helmholtz operator. In this note we show that the Lie derivative operator passes to the quotient in the variational sequence. Then we define the variational Lie derivative as an operator on the sheaves of the variational sequence. Explicit...
Symplectic structures on the tangent bundles of symplectic and cosymplectic manifolds
We describe all natural symplectic structures on the tangent bundles of symplectic and cosymplectic manifolds.
Synge-Beil and Riemann-Jacobi jet structures with applications to physics.