Hyperplane families creating envelopes

DOI10.1088/1361-6544/ac61a0OpenAlexW3152225154MaRDI QIDQ5863870

Takashi Nishimura

Publication date: 3 June 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.01574

zbMATH Keywords

envelopefrontalorthotomicanti-orthotomiccreativehyperplane familymirror-image mapping

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Differentiable maps on manifolds (58C25)

Related Items

Envelopes created by circle families in the plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hyperplane envelopes and the Clairaut equation
• Envelopes of families of Legendre mappings in the unit tangent bundle over the Euclidean space
• Anti-orthotomics of frontals and their applications
• The geometry of fronts
• Openings of differentiable map-germs and unfoldings
• Crystalline variational problems
• Singular Solutions of First-Order Differential Equations
• Kato's chaos created by quadratic mappings associated with spherical orthotomic curves
• Singularities of Frontals
• Pedal coordinates, dark Kepler, and other force problems