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The bracket and the evolution operator in covariant Hamiltonian field theory
G. Sardanashvily
No bracket determines the evolution operator in covariant (polysymplectic and multisymplectic) Hamiltonian field theory.
The covariant Lyapunov tensor and the Lyapunov stability with respect to time-dependent Riemannian metrics
G. Sardanashvily
We show that any solution of a smooth first order dynamic equation can be made Lyapunov stable at will by the choice of an appropriate time-dependent Riemannian metric.
Remark on the Serre-Swan theorem for non-compact manifolds
G. Sardanashvily
The Serre-Swan theorem provides the link between projective modules of finite rank and vector bundles over compact manifolds, and plays a prominent role in non-commutative geometry…
On the obstruction to the exactness of the variational bicomplex
G. Giachetta, L. Mangiarotti, G. Sardanashvily
We study the obstruction to the exactness of the variational complex for a field theory on an affine bundle.