Criteria for cuspidal S_k singularities and their applications

Abstract

We give useful criteria for S_1 singularities in the Mond classification table, and cuspidal S_k singularities. As applications, we give a simple proof of a result given by Mond and a characterization of cuspidal S_k singularities for the composition of a cuspidal edge and a fold map indicated by Arnol'd for the case k=1.

17 pages, 6figures

References in corpus (1)

• Singularities of flat fronts in hyperbolic 3-space

Cited by in corpus (4)

• Isotopy of Morin singularities
• Criteria for Morin singularities into higher dimensions
• The fundamental theorem for singular surfaces with limiting tangent planes
• Behavior of principal curvatures of frontals near non-front singular points and their application