32 citations · 114 across the 45 of their papers we have counts for
10 papers · 1 filter
Criteria for sharksfin and deltoid singularities from the plane into the plane and their applications
Yutaro Kabata, Kentaro Saji
We give criteria for sharksfin and deltoid singularities from the plane into the plane. We also give geometric meanings for the conditions in the criterion of a sharksfin. As appli…
A note on singular points of bundle homomorphisms from a tangent distribution into a vector bundle of the same rank
Kentaro Saji, Asahi Tsuchida
We consider bundle homomorphisms between tangent distributions and vector bundles of the same rank. We study the conditions for fundamental singularities when the bundle homomorphi…
Normal form of swallowtail and its applications
Kentaro Saji
We construct a form of swallowtail singularity in R^3 which uses coordinate transformation on the source and isometry on the target. As an application, we classify configurations o…
On pairs of geometric foliations on a cuspidal edge
Kentaro Saji
We study the topological configurations of the lines of principal curvature, the asymptotic and characteristic curves on a cuspidal edge, in the domain of a parametrization of this…
Criteria for Morin singularities for maps into lower dimensions, and applications
Kentaro Saji
We give criteria for Morin singularities for germs of maps into lower dimensions. As an application, we study the bifurcation of Lefschetz singularities.
Isotopy of Morin singularities
Kentaro Saji
We define an equivalence relation called A-isotopy between finitely determined map-germs, which is a strengthened version of A-equivalence. We consider the number of A-isotopy clas…