Differential equations and moving frames

Odinette Renée Abib (1)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem

The purpose of the paper is to study the relationship between differential equations, Pfaffian systems and geometric structures, via the method of moving frames of E.Cartan. We show a local structure theorem. The Lie algebra aspects differential equations is studied too.

Mots clés: moving frames; Pfaff; Lie algebra

Domaines: Optimisation et contrôle [math.OC]; Géométrie différentielle [math.DG]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Odinette Renée Abib. Differential equations and moving frames. Matemática Contemporânea, 2006, 30, pp.01-27. ⟨hal-00096436⟩