Centre symmetry sets of families of plane curves
From MaRDI portal
Publication:2515981
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
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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Singularities of the Minkowski set and affine equidistants for a curve and a surface
- Singularities of the affine chord envelope for two surfaces in four-space
- Reconstructions of fronts and caustics depending on a parameter and versality of mappings
- Stability of unfoldings in space and time
- Bifurcations of the center of symmetry
- Singularities of equidistants and global centre symmetry sets of Lagrangian submanifolds
- Recognition of centre symmetry set singularities
- A Classification of 1-Parameter Families of Map Germs R3 , 0 → R3 , 0 with Applications to Condensation Problems
- Wave front evolution and equivariant Morse lemma
- Singularities of centre symmetry sets
- Propagations from a space curve in three space with indicatrix a surface
This page was built for publication: Centre symmetry sets of families of plane curves