On generic hypersurfaces in ℝⁿ

J.W. Bruce

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    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
    Volume90
    Issue number3
    DOIs
    Publication statusPublished - 1981

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