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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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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