Singularities of the Minkowski set and affine equidistants for a curve and a surface

DOI10.1016/j.topol.2011.09.031zbMath1253.58016OpenAlexW2088346492MaRDI QIDQ664676

Vladimir M. Zakalyukin, Graham M. Reeve

Publication date: 2 March 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.09.031

zbMATH Keywords

singularityaffine spacecausticboundary singularityaffine equidistantsMinkowski set

Mathematics Subject Classification ID

Affine differential geometry (53A15) Critical points of functions and mappings on manifolds (58K05) Classification; finite determinacy of map germs (58K40)

Related Items (7)

The improved isoperimetric inequality and the Wigner caustic of planar ovals ⋮ Accuracy of noisy Spike-Train Reconstruction: a Singularity Theory point of view ⋮ Bitangent planes of surfaces and applications to thermodynamics ⋮ Isoperimetric equalities for rosettes ⋮ Geometry of curves and surfaces through the contact map ⋮ Centre symmetry sets of families of plane curves ⋮ Singularities of the affine chord envelope for two surfaces in four-space

Cites Work

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• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• Bifurcations of affine equidistants
• Bifurcations of the center of symmetry
• Recognition of centre symmetry set singularities
• Singularities of centre symmetry sets

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