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Simple singularities of space curves

Published online by Cambridge University Press:  24 October 2008

C. G. Gibson  and
C. A. Hobbs
C. G. Gibson
Affiliation:
Department of Pure Mathematics, University of Liverpool, P0 Box 147, Liverpool L69 3BX
C. A. Hobbs
Affiliation:
Department of Pure Mathematics, University of Liverpool, P0 Box 147, Liverpool L69 3BX
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Extract

The genesis of this paper lies in theoretical questions in kinematics where a central role is played by naturally occurring families of rigid motions of 3-space. The resulting trajectories are parametrized families of space curves, and it is important to understand the generic singularities they can exhibit. For practical purposes one seeks to classify germs of space curves of fairly small Ae-codimension. It is however little harder to list the A-simple germs, which includes all germs of Ae-codimension ≤11: that then is the principal objective of this paper.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 113 , Issue 2 , March 1993 , pp. 297 - 310
Copyright
Copyright © Cambridge Philosophical Society 1993

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