Bull. Math. Soc. Sci. Math. Roumanie

Fiorella Barone and Renato Grassini: Geometry of implicit differential equations on smooth manifolds, p.119-145

Abstract:

The tangent bundle approach to implicit differential equations on manifolds is fully developped. The key concepts are all cast into the frame of a category, whose objects and morphisms give an overall picture of the geometric techniques available in the theory.

Key Words: manifolds, implicit differential equations, constrained systems, symmetry groups, reductions and reconstructions.

2000 Mathematics Subject Classification: Primary: 34A09, Secondary: 70G45.