In this paper we consider certain questions concerning the differential geometry of generic hypersurfaces in n. Our results prove, for example, that the curve of rib points of a generic surface in 3 has transverse self-intersections. In (4) Porteous discussed (amongst other things) the generic geometry of curves and surfaces in 3. Subsequently Looijenga ((3) and see also (5)) gave a more precise definition of the term generic and showed that an open dense subset of smooth embeddings of manifolds in Euclidean space were indeed generic.
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|Publication status||Published - 1981|