Project: Aspects of holonomy, decoupling and reduction of Langrangian systems (ASPHODELUS)
01-SEP-06 – 31-AUG-09
The first goal is the characterization of partial decoupling into substructures of Langrangian systems. Also elements of symmetry reduction will be investigated. Important tools for this research are holonomy groups of connections and the theory of Lie algebroids. Both objectives will be realized for both classical Langrangian systems and for non-holonomic systems and control theory.