Flat Manifolds

Flat manifolds.- Flat manifolds with parallel torsion.- Flat bundles.- Characteristic classes of flat bundles.- Stably flat vector bundles on complexes covered by a homotopy sphere.- Flat G-structures on manifolds and the Euler characteristic.- The Chern character of elliptic symbols associated to a flat G-structure.- The index of elliptic complexes associated to a flat G-structure.- Problems.