### 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 language | English |
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Pages (from-to) | 389-394 |

Journal | Mathematical Proceedings of the Cambridge Philosophical Society |

Volume | 90 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1981 |

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## Cite this

Bruce, J. W. (1981). On generic hypersurfaces in ℝⁿ.

*Mathematical Proceedings of the Cambridge Philosophical Society*,*90*(3), 389-394. https://doi.org/10.1017/S0305004100058862