Simple singularities of space curves

C. G. Gibson; Catherine Hobbs

doi:10.1017/s0305004100075976

Simple singularities of space curves

C. G. Gibson, Catherine Hobbs

University of Liverpool

Research output: Contribution to journal › Article › peer-review

34 Citations (Scopus)

Abstract

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 A_e-codimension. It is however little harder to list the A-simple germs, which includes all germs of A_e-codimension ≤11: that then is the principal objective of this paper.

Original language	English
Pages (from-to)	297-310
Number of pages	14
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	113
Issue number	2
DOIs	https://doi.org/10.1017/s0305004100075976
Publication status	Published - Mar 1993
Externally published	Yes

Access to Document

10.1017/s0305004100075976

Cite this

@article{9cd39982fe0a4390acb6e8b1091e20c9,

title = "Simple singularities of space curves",

abstract = "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 A_e-codimension. It is however little harder to list the A-simple germs, which includes all germs of A_e-codimension ≤11: that then is the principal objective of this paper.",

author = "Gibson, {C. G.} and Catherine Hobbs",

year = "1993",

month = mar,

doi = "10.1017/s0305004100075976",

language = "English",

volume = "113",

pages = "297--310",

journal = "Mathematical Proceedings of the Cambridge Philosophical Society",

issn = "0305-0041",

publisher = "Cambridge University Press",

number = "2",

}

TY - JOUR

T1 - Simple singularities of space curves

AU - Gibson, C. G.

AU - Hobbs, Catherine

PY - 1993/3

Y1 - 1993/3

N2 - 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 A_e-codimension. It is however little harder to list the A-simple germs, which includes all germs of A_e-codimension ≤11: that then is the principal objective of this paper.

AB - 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 A_e-codimension. It is however little harder to list the A-simple germs, which includes all germs of A_e-codimension ≤11: that then is the principal objective of this paper.

U2 - 10.1017/s0305004100075976

DO - 10.1017/s0305004100075976

M3 - Article

SN - 0305-0041

VL - 113

SP - 297

EP - 310

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

IS - 2

ER -

Simple singularities of space curves

Abstract

Access to Document

Fingerprint

Cite this