On generic hypersurfaces in ℝⁿ

J.W. Bruce

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

    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

    Fingerprint

    Dive into the research topics of 'On generic hypersurfaces in ℝⁿ'. Together they form a unique fingerprint.

    Cite this