On singularities, envelopes and elementary differential geometry

J.W. Bruce

    Research output: Contribution to journalArticle

    18 Citations (Scopus)

    Abstract

    The aim of this paper is to exhibit a connection between certain types of envelope and the discriminant sets of function singularities. We show how conditions that the envelope has a certain local structure (which arise from the singularity theory) often have pleasant geometric interpretations. Moreover in many cases one can show that these conditions are generically (nearly always) satisfied.
    Original languageEnglish
    Pages (from-to)43-48
    JournalMathematical Proceedings of the Cambridge Philosophical Society
    Volume89
    Issue number1
    DOIs
    Publication statusPublished - 1981

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    Differential Geometry
    Envelope
    Singularity
    Singularity Theory
    Local Structure
    Discriminant
    Interpretation

    Cite this

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    title = "On singularities, envelopes and elementary differential geometry",
    abstract = "The aim of this paper is to exhibit a connection between certain types of envelope and the discriminant sets of function singularities. We show how conditions that the envelope has a certain local structure (which arise from the singularity theory) often have pleasant geometric interpretations. Moreover in many cases one can show that these conditions are generically (nearly always) satisfied.",
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    On singularities, envelopes and elementary differential geometry. / Bruce, J.W.

    In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 89, No. 1, 1981, p. 43-48.

    Research output: Contribution to journalArticle

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    AB - The aim of this paper is to exhibit a connection between certain types of envelope and the discriminant sets of function singularities. We show how conditions that the envelope has a certain local structure (which arise from the singularity theory) often have pleasant geometric interpretations. Moreover in many cases one can show that these conditions are generically (nearly always) satisfied.

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