On generic hypersurfaces in ℝⁿ

J.W. Bruce

    Research output: Contribution to journalArticle (journal)peer-review

    2 Citations (Scopus)


    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.
    Original languageEnglish
    Pages (from-to)389-394
    JournalMathematical Proceedings of the Cambridge Philosophical Society
    Issue number3
    Publication statusPublished - 1981


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