Simple singularities of space curves

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...

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Bibliographic Details
Published in:Mathematical proceedings of the Cambridge Philosophical Society 1993-03, Vol.113 (2), p.297-310
Main Authors: Gibson, C. G., Hobbs, C. A.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Global analysis, analysis on manifolds
Mathematics
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Summary: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.
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004100075976