Matsyuk, R. Ya. Symmetries of vector exterior differential systems and the inverse problem in second-order Ostrograds’kii mechanics. (English) Zbl 0957.58003 J. Nonlinear Math. Phys. 4, No. 1-2, 89-97 (1997). The author recalls the vector bundle valued differential forms and exterior systems. Then he introduces a new kind of equivalence in order to reformulate the usual concepts of symmetries and infinitesimal symmetries of systems of differential equations: two exterior differential systems are called equivalent if the sets of their solutions coincide, the symmetry is a transformation which changes a given system into an equivalent system.It is not easy to effectively apply this new conception, a simple example from the relativistic mechanics is nevertheless briefly mentioned. Reviewer: Jan Chrastina (Brno) MSC: 58A15 Exterior differential systems (Cartan theory) 58E30 Variational principles in infinite-dimensional spaces Keywords:infinitesimal summetry; Euler-Lagrange equation; exterior differential systems PDF BibTeX XML Cite \textit{R. Ya. Matsyuk}, J. Nonlinear Math. Phys. 4, No. 1--2, 89--97 (1997; Zbl 0957.58003) Full Text: DOI OpenURL