Duality on Geodesics of Cartan Distributions and Sub-Riemannian Pseudo-Product Structures
Given a five dimensional space endowed with a Cartan distribution, the abnormal geodesics form another five dimensional space with a cone structure.Then it is shown in Scopes (15), that, if the cone structure is regarded as a control system, then the space of abnormal geodesics of the cone structure is naturally identified with the original space.I