2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62993The action of origin-preserving diffeomorphisms on a space of jets of symmetric connections is considered. Dimensions of moduli spaces of generic connections are calculated. Poincaré series of the geometric structure of symmetric connection is constructed, and shown to be a rational function.16 pages. Submitted to Proceedings of European Summer School - NATO-ASI, St.Petersburg'2001Differential Geometry53B10text