Singularities of line congruences
2003 ◽
Vol 133
(6)
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pp. 1341-1359
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Keyword(s):
A line congruence is a two-parameter family of lines in R3. In this paper we study singularities of line congruences. We show that generic singularities of general line congruences are the same as those of stable mappings between three-dimensional manifolds. Moreover, we also study singularities of normal congruences and equiaffine normal congruences from the viewpoint of the theory of Lagrangian singularities.
Keyword(s):
Keyword(s):
1992 ◽
Vol 07
(20)
◽
pp. 4937-4948
Keyword(s):
Keyword(s):
2009 ◽
Vol 42
(12)
◽
pp. 125303
◽
Keyword(s):
Keyword(s):