Variational sequences and variational bicomplexes

Demeter Krupka


Abstract. 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 structures, give different results.

AMSclassification. 49F05, 58A15, 58E99

Keywords. Fibered manifold, lagrangian, Euler-Lagrange mapping, variational sequence, variational bicomplex