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Given a jet bundle of jets of finite order , its variational sequence (Krupka 90) is a resolution of its constant sheaf of locally constant functions with values in the real numbers by a chain complex of quotient of sheaves of differential forms by combinations of contact forms and their de Rham differentials. (e.g. PRWM 15, section 2.2).
The variational sequence is a sub-sequence of the Euler complex as obtained from the theory of the variational bicomplex (Krupka 90, see e.g. PRWM 15,theorem 1).
The concept was introduced in
Review includes
Demeter Krupka, Introduction to Global Variational Geometry
M. Palese, O. Rossi, E. Winterroth, J. Musilova, Variational sequences, representation sequences and applications in physics (arXiv:1508.01752)
Last revised on July 24, 2022 at 18:40:08. See the history of this page for a list of all contributions to it.