Classification reveals contact patterns of cuspidal edges with singular curves, highlighting their geometric properties.
We classify submersions on a cuspidal edge M in R³ with a distinguished singular curve S in it. We use this classification to study the contact of the pair (M,S) with planes, which is measured by the singularities of the height functions on (M,S) . The discriminants of the versal deformations of the submersions obtained are also described.
No takes yet. Share an insight, caveat, or question.
Alharbi et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: