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math.DG2017
Flat surfaces along swallowtails
Shyuichi Izumiya, Kentaro Saji, Keisuke Teramoto
We consider developable surfaces along the singular set of a swallowtail which are considered to be flat approximations of the swallowtail. For the study of singularities of such d…
math.DG2017
Characterizing singularities of a surface in Lie sphere geometry
Mason Pember, Wayne Rossman, Kentaro Saji +1
The conditions for a cuspidal edge, swallowtail and other fundamental singularities are given in the context of Lie sphere geometry. We then use these conditions to study the Lie s…