Generic 1-parameter families of caustics by reflexion in the plane

DOI10.1017/S0305004100062332zbMath0561.58004MaRDI QIDQ5186424

D. L. Fidal, Peter J. Giblin

Publication date: 1984

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

cuspcausticsingularity of function

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Catastrophe theory (58K35) Geometric optics (78A05)

Related Items (6)

The rectifying developable and the tangent indicatrix of a curve in Galilean 3-space ⋮ Growth, motion and 1-parameter families of symmetry sets ⋮ Generic affine differential geometry of space curves ⋮ Generic affine differential geometry of plane curves ⋮ Tracking the critical points of curves evolving under planar curvature flows ⋮ Monotonicity of spatial critical points evolving under curvature-driven flows

Cites Work

• SOURCE GENERICITY OF CAUSTICS BY REFLEXION IN THE PLANE
• On Caustics of Plane Curves
• Wave front evolution and equivariant Morse lemma

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