Vitolo, Raffaele A new infinite order formulation of variational sequences. (English) Zbl 0970.58002 Arch. Math., Brno 34, No. 4, 483-504 (1998). The author presents a new approach to the variational bicomplex on the infinite jet prolongation of a fibred manifold. In this approach, which is based on the theory of variational sequences on finite order jet prolongations due to D. Krupka, the information related to the order of jets is lost, but a considerable simplification both in the exposition and in computations is obtained. The author also deduces several interesting geometric results related with the second variational formula. Reviewer: Ivan Kolář (Brno) Cited in 2 Documents MSC: 58A12 de Rham theory in global analysis 58A20 Jets in global analysis 58E30 Variational principles in infinite-dimensional spaces 58J10 Differential complexes Keywords:fibred manifold; jet space; infinite order jet space; variational bicomplex; variational sequence PDFBibTeX XMLCite \textit{R. Vitolo}, Arch. Math., Brno 34, No. 4, 483--504 (1998; Zbl 0970.58002) Full Text: EuDML