Centre symmetry sets of families of plane curves

DOI10.1515/dema-2015-0016zbMath1336.57041OpenAlexW2218289401MaRDI QIDQ2515981

Peter J. Giblin, Graham M. Reeve

Publication date: 7 August 2015

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2015-0016

zbMATH Keywords

plane curveswavefrontcausticcentral symmetry

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Curves in Euclidean and related spaces (53A04) Affine differential geometry (53A15)

Related Items (7)

Singular points of the Wigner caustic and affine equidistants of planar curves ⋮ The Gauss-Bonnet theorem for coherent tangent bundles over surfaces with boundary and its applications ⋮ Equidistants for families of surfaces ⋮ Bitangent planes of surfaces and applications to thermodynamics ⋮ Construction of scattering curves in one class of time-optimal control problems with leaps of a target set boundary curvature ⋮ The geometry of the Wigner caustic and a decomposition of a curve into parallel arcs ⋮ On geometry of the midlocus associated to a smooth curve in plane and space

Cites Work

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• Wave front evolution and equivariant Morse lemma
• Singularities of centre symmetry sets
• Propagations from a space curve in three space with indicatrix a surface

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