Projection methods for some constrained systems

Abstract

This article is concerned with a geometric tool given by a pair of projector operators defined by almost product structures on finite dimensional manifolds, polarized by a distribution of constant rank and also endowed with some geometric structures (Riemann, resp. Poisson, resp. symplectic). The work is motivated by non-holonomic and sub-Riemannian geometry of mechanical systems on finite dimensional manifolds. Two examples are given.

Keywords

• almost product structure
• projectors
• constraints
• poisson/riemann and sub-riemann/structures