On generic hypersurfaces in ℝⁿ

Bruce, J.W. (1981) On generic hypersurfaces in ℝⁿ. Mathematical Proceedings of the Cambridge Philosophical Society, 90 (3). pp. 389-394. ISSN 0305-0041 DOI https://doi.org/10.1017/S0305004100058862

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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.

Item Type: Article
Subjects: Q Science > QA Mathematics
Date Deposited: 10 Jan 2011 12:28
URI: http://repository.edgehill.ac.uk/id/eprint/2154

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