Pedal curves of hyperbolic frontals and their singularities

Singularities of differentiable mappings in differential topology (57R45) Non-Euclidean differential geometry (53A35) Critical points of functions and mappings on manifolds (58K05)

Cites Work

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Involutes of fronts in the Euclidean plane
Existence and uniqueness for Legendre curves
Tangent developables and Darboux developables of framed curves
Framed curves in the Euclidean space
Lightlike tangent developables in de Sitter 3-space
Legendre curves and the singularities of ruled surfaces obtained by using rotation minimizing frame
Pedal coordinates, solar sail orbits, dipole drive and other force problems
Normal forms for singularities of pedal curves produced by non-singular dual curve germs in \(S^{n}\)
Evolutes and involutes of frontals in the Euclidean plane
Geometric algebra of singular ruled surfaces
Pedal coordinates and free double linkage
Evolutes of fronts in the Euclidean plane
Legendre curves in the unit spherical bundle over the unit sphere and evolutes
Evolutes of fronts on Euclidean 2-sphere
Pedal curves of fronts in the sphere
SINGULARITIES OF PEDAL CURVES PRODUCED BY SINGULAR DUAL CURVE GERMS IN Sn
Notes on pedal and contrapedal curves of fronts in the Euclidean plane
Pedal curves of frontals in the Euclidean plane
Envelopes of legendre curves in the unit spherical bundle over the unit sphere
Evolutes and focal surfaces of framed immersions in the Euclidean space
Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
Pedal coordinates, dark Kepler, and other force problems
Dualities and evolutes of fronts in hyperbolic and de Sitter space
Pedal and contrapedal curves of framed immersions in the Euclidean 3-space
On (contra)pedals and (anti)orthotomics of frontals in de Sitter 2‐space
Singularities and dualities of pedal curves in pseudo-hyperbolic and de Sitter space

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