Singularities of line congruences

DOI10.1017/S0308210500002973zbMath1053.53007MaRDI QIDQ4454349

Shyuichi Izumiya, Nobuko Takeuchi, Kentaro Saji

Publication date: 8 March 2004

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

singularitycuspidal edgeswallowtailevolutefoldline congruencefocal surfacenormal congruenceequiaffine normal congruenceLagrangian line congruence

Mathematics Subject Classification ID

Normal forms on manifolds (58K50) Differential line geometry (53A25) Critical points of functions and mappings on manifolds (58K05) Stability theory for manifolds (58K25)

Related Items (8)

Reflection in a translation invariant surface ⋮ Circular surfaces ⋮ Singularities of generic line congruences ⋮ One‐parameter families of Legendre curves and plane line congruences ⋮ Singularities of 3-parameter line congruences in ⋮ Focal surfaces of fronts associated to unbounded principal curvatures ⋮ Caustics of pseudo-spherical surfaces in the Euclidean 3-space ⋮ FOCAL SURFACES OF WAVE FRONTS IN THE EUCLIDEAN 3-SPACE

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