Special holonomy and hypersurfaces

From the introduction: In Chapter 1 we explain in detail the background that we sketched at the beginning of this introduction; no new results appear in this chapter.[...]In Chapter 2 we study the local geometry of hypersurfaces inside spin Riemannian manifolds M admitting a parallel spinor, as well as abstract G-structures defined by a generalized Killing spinor.[...]Chapter 3 is independent of Chapter 2; it is aimed at understanding Salamon’s “dictionary” technique from a theoretical point of view.[...]In Chapter 4 we apply the techniques of Chapter 3 to produce invariant special geometries.[...]Chapter 5 is independent of Chapter 3, and uses little of Chapter 4; it deals with hypo geometry, i.e. the geometry defined by a generalized Killing spinor in five dimensions.